3900470400 has 144 divisors (see below), whose sum is σ = 13917875010. Its totient is φ = 1040117760.

The previous prime is 3900470389. The next prime is 3900470411. The reversal of 3900470400 is 40740093.

It is an interprime number because it is at equal distance from previous prime (3900470389) and next prime (3900470411).

It can be written as a sum of positive squares in 3 ways, for example, as 3813309504 + 87160896 = 61752^2 + 9336^2 .

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

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, 38917 + ... + 96516.

Almost surely, 2^3900470400 is an apocalyptic number.

3900470400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3900470400 is an abundant number, since it is smaller than the sum of its proper divisors (10017404610).

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

3900470400 is a wasteful number, since it uses less digits than its factorization.

3900470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135463 (or 135443 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3900470400 is about 62453.7460846025. The cubic root of 3900470400 is about 1574.1241994082.

The spelling of 3900470400 in words is "three billion, nine hundred million, four hundred seventy thousand, four hundred".