3975596400 has 120 divisors (see below), whose sum is σ = 12749456304. Its totient is φ = 1058969600.

The previous prime is 3975596393. The next prime is 3975596413. The reversal of 3975596400 is 46955793.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3975596400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1776082 + ... + 1778318.

Almost surely, 2^3975596400 is an apocalyptic number.

3975596400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3975596400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374728152).

3975596400 is an abundant number, since it is smaller than the sum of its proper divisors (8773859904).

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

3975596400 is a wasteful number, since it uses less digits than its factorization.

3975596400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 48.

The square root of 3975596400 is about 63052.3306468524. The cubic root of 3975596400 is about 1584.1662729752.

The spelling of 3975596400 in words is "three billion, nine hundred seventy-five million, five hundred ninety-six thousand, four hundred".