3958052400 has 90 divisors (see below), whose sum is σ = 13735553780. Its totient is φ = 1055479680.

The previous prime is 3958052369. The next prime is 3958052473. The reversal of 3958052400 is 42508593.

3958052400 is a `hidden beast` number, since 39 + 580 + 5 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×3958052400² = 31332357602291520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 546130 + ... + 553329.

Almost surely, 2^3958052400 is an apocalyptic number.

3958052400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3958052400 is an abundant number, since it is smaller than the sum of its proper divisors (9777501380).

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

3958052400 is a wasteful number, since it uses less digits than its factorization.

3958052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099483 (or 1099469 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3958052400 is about 62913.0542892332. The cubic root of 3958052400 is about 1581.8325689608.

The spelling of 3958052400 in words is "three billion, nine hundred fifty-eight million, fifty-two thousand, four hundred".