3956918400 has 144 divisors (see below), whose sum is σ = 14119294410. Its totient is φ = 1055170560.

The previous prime is 3956918393. The next prime is 3956918429. The reversal of 3956918400 is 48196593.

It is a happy number.

3956918400 is a `hidden beast` number, since 3 + 9 + 569 + 1 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3649126464 + 307791936 = 60408^2 + 17544^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39897 + ... + 97496.

Almost surely, 2^3956918400 is an apocalyptic number.

3956918400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3956918400 is an abundant number, since it is smaller than the sum of its proper divisors (10162376010).

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

3956918400 is a wasteful number, since it uses less digits than its factorization.

3956918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137423 (or 137403 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3956918400 is about 62904.0412056332. The cubic root of 3956918400 is about 1581.6814871248.

The spelling of 3956918400 in words is "three billion, nine hundred fifty-six million, nine hundred eighteen thousand, four hundred".