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3721000000 = 2656612
BaseRepresentation
bin1101110111001001…
…1111010001000000
3100121022201101101211
43131302133101000
530110034000000
61413121535504
7161131656334
oct33562372100
910538641354
103721000000
11163a453413
1287a1a4594
13473b97263
142742897c4
1516ba137ba
hexddc9f440

3721000000 has 147 divisors (see below), whose sum is σ = 9383493171. Its totient is φ = 1464000000.

The previous prime is 3720999949. The next prime is 3721000037. The reversal of 3721000000 is 1273.

The square root of 3721000000 is 61000.

It is a perfect power (a square), and thus also a powerful number.

3721000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 986965056 + 2734034944 = 31416^2 + 52288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 60999970 + ... + 61000030.

Almost surely, 23721000000 is an apocalyptic number.

3721000000 is the 61000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3721000000

3721000000 is an abundant number, since it is smaller than the sum of its proper divisors (5662493171).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3721000000 is an frugal number, since it uses more digits than its factorization.

3721000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The cubic root of 3721000000 is about 1549.6010072571.

Adding to 3721000000 its reverse (1273), we get a palindrome (3721001273).

The spelling of 3721000000 in words is "three billion, seven hundred twenty-one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 160 200 244 250 305 320 400 488 500 610 625 800 976 1000 1220 1250 1525 1600 1952 2000 2440 2500 3050 3125 3721 3904 4000 4880 5000 6100 6250 7442 7625 8000 9760 10000 12200 12500 14884 15250 15625 18605 19520 20000 24400 25000 29768 30500 31250 37210 38125 40000 48800 50000 59536 61000 62500 74420 76250 93025 97600 100000 119072 122000 125000 148840 152500 186050 190625 200000 238144 244000 250000 297680 305000 372100 381250 465125 488000 500000 595360 610000 744200 762500 930250 953125 1000000 1190720 1220000 1488400 1525000 1860500 1906250 2325625 2440000 2976800 3050000 3721000 3812500 4651250 5953600 6100000 7442000 7625000 9302500 11628125 12200000 14884000 15250000 18605000 23256250 29768000 30500000 37210000 46512500 58140625 61000000 74420000 93025000 116281250 148840000 186050000 232562500 372100000 465125000 744200000 930250000 1860500000 3721000000