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3725603440 = 2451317320707
BaseRepresentation
bin1101111000010000…
…0011001001110000
3100121122101021010121
43132010003021300
530112223302230
61413404340024
7161216051416
oct33604031160
910548337117
103725603440
111642008009
1287b844614
13474b196a0
14274b272b6
1516c12277a
hexde103270

3725603440 has 80 divisors (see below), whose sum is σ = 9382711968. Its totient is φ = 1367589888.

The previous prime is 3725603437. The next prime is 3725603471. The reversal of 3725603440 is 443065273.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3725603396 and 3725603405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169567 + ... + 190273.

Almost surely, 23725603440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3725603440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691355984).

3725603440 is an abundant number, since it is smaller than the sum of its proper divisors (5657108528).

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

3725603440 is a wasteful number, since it uses less digits than its factorization.

3725603440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20906 (or 20900 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 34.

The square root of 3725603440 is about 61037.7214515745. The cubic root of 3725603440 is about 1550.2397742144.

The spelling of 3725603440 in words is "three billion, seven hundred twenty-five million, six hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 173 208 260 346 520 692 865 1040 1384 1730 2249 2768 3460 4498 6920 8996 11245 13840 17992 20707 22490 35984 41414 44980 82828 89960 103535 165656 179920 207070 269191 331312 414140 538382 828280 1076764 1345955 1656560 2153528 2691910 3582311 4307056 5383820 7164622 10767640 14329244 17911555 21535280 28658488 35823110 46570043 57316976 71646220 93140086 143292440 186280172 232850215 286584880 372560344 465700430 745120688 931400860 1862801720 3725603440