3937728960 has 168 divisors, whose sum is σ = 14775551856. Its totient is φ = 954593280.

The previous prime is 3937728943. The next prime is 3937728979. The reversal of 3937728960 is 698277393.

It is a junction number, because it is equal to n+sod(n) for n = 3937728897 and 3937728906.

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 23 ways as a sum of consecutive naturals, for example, 30469 + ... + 93828.

Almost surely, 2^3937728960 is an apocalyptic number.

3937728960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3937728960 is an abundant number, since it is smaller than the sum of its proper divisors (10837822896).

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

3937728960 is a wasteful number, since it uses less digits than its factorization.

3937728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124331 (or 124318 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 3937728960 is about 62751.3263604842. The cubic root of 3937728960 is about 1579.1205060948.

The spelling of 3937728960 in words is "three billion, nine hundred thirty-seven million, seven hundred twenty-eight thousand, nine hundred sixty".