3891264400 has 45 divisors (see below), whose sum is σ = 9351761041. Its totient is φ = 1556006720.

The previous prime is 3891264389. The next prime is 3891264401. The reversal of 3891264400 is 44621983.

The square root of 3891264400 is 62380.

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

It can be written as a sum of positive squares in only one way, i.e., 1400855184 + 2490409216 = 37428^2 + 49904^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3891264400.

It is not an unprimeable number, because it can be changed into a prime (3891264401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1246041 + ... + 1249159.

Almost surely, 2^3891264400 is an apocalyptic number.

3891264400 is the 62380-th square number.

It is an amenable number.

3891264400 is an abundant number, since it is smaller than the sum of its proper divisors (5460496641).

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

3891264400 is an frugal number, since it uses more digits than its factorization.

3891264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6256 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The cubic root of 3891264400 is about 1572.8847930581.

The spelling of 3891264400 in words is "three billion, eight hundred ninety-one million, two hundred sixty-four thousand, four hundred".