3917557960 has 32 divisors (see below), whose sum is σ = 8853017400. Its totient is φ = 1560176640.

The previous prime is 3917557949. The next prime is 3917557967. The reversal of 3917557960 is 697557193.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3671632836 + 245925124 = 60594^2 + 15682^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3917557898 and 3917557907.

It is not an unprimeable number, because it can be changed into a prime (3917557967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204681 + ... + 223000.

Almost surely, 2^3917557960 is an apocalyptic number.

It is an amenable number.

3917557960 is an abundant number, since it is smaller than the sum of its proper divisors (4935459440).

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

3917557960 is a wasteful number, since it uses less digits than its factorization.

3917557960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427921 (or 427917 counting only the distinct ones).

The product of its (nonzero) digits is 1786050, while the sum is 52.

The square root of 3917557960 is about 62590.3983051714. The cubic root of 3917557960 is about 1576.4195428951.

The spelling of 3917557960 in words is "three billion, nine hundred seventeen million, five hundred fifty-seven thousand, nine hundred sixty".