3958926400 has 315 divisors, whose sum is σ = 11603185455. Its totient is φ = 1328870400.

The previous prime is 3958926397. The next prime is 3958926409. The reversal of 3958926400 is 46298593.

The square root of 3958926400 is 62920.

It is a perfect power (a square), and thus also a powerful number.

3958926400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1020419136 + 2938507264 = 31944^2 + 54208^2 .

It is not an unprimeable number, because it can be changed into a prime (3958926409) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 304532794 + ... + 304532806.

Almost surely, 2^3958926400 is an apocalyptic number.

3958926400 is the 62920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3958926400

3958926400 is an abundant number, since it is smaller than the sum of its proper divisors (7644259055).

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

3958926400 is an equidigital number, since it uses as much as digits as its factorization.

3958926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The cubic root of 3958926400 is about 1581.9489915324.

The spelling of 3958926400 in words is "three billion, nine hundred fifty-eight million, nine hundred twenty-six thousand, four hundred".