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3742814080 = 27513942073
BaseRepresentation
bin1101111100010110…
…1100111110000000
3100122211202122200201
43133011230332000
530131130022310
61415221254544
7161515252255
oct33705547600
910584678621
103742814080
1116507a2685
12885564454
134785642b5
1427712742c
1516d8c1e3a
hexdf16cf80

3742814080 has 64 divisors (see below), whose sum is σ = 9012250800. Its totient is φ = 1486319616.

The previous prime is 3742814059. The next prime is 3742814113. The reversal of 3742814080 is 804182473.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67924 + ... + 109996.

Almost surely, 23742814080 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 3742814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506125400).

3742814080 is an abundant number, since it is smaller than the sum of its proper divisors (5269436720).

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

3742814080 is a wasteful number, since it uses less digits than its factorization.

3742814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42231 (or 42219 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 3742814080 is about 61178.5426436426. The cubic root of 3742814080 is about 1552.6232484616.

The spelling of 3742814080 in words is "three billion, seven hundred forty-two million, eight hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 139 160 278 320 556 640 695 1112 1390 2224 2780 4448 5560 8896 11120 17792 22240 42073 44480 84146 88960 168292 210365 336584 420730 673168 841460 1346336 1682920 2692672 3365840 5385344 5848147 6731680 11696294 13463360 23392588 26926720 29240735 46785176 58481470 93570352 116962940 187140704 233925880 374281408 467851760 748562816 935703520 1871407040 3742814080