3816590400 has 630 divisors, whose sum is σ = 16346400378. Its totient is φ = 870912000.

The previous prime is 3816590387. The next prime is 3816590447. The reversal of 3816590400 is 40956183.

3816590400 is a `hidden beast` number, since 3 + 8 + 165 + 90 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 686859264 + 3129731136 = 26208^2 + 55944^2 .

It is a tau number, because it is divible by the number of its divisors (630).

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 6350100 + ... + 6350700.

Almost surely, 2^3816590400 is an apocalyptic number.

3816590400 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 3816590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8173200189).

3816590400 is an abundant number, since it is smaller than the sum of its proper divisors (12529809978).

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

3816590400 is a wasteful number, since it uses less digits than its factorization.

3816590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3816590400 is about 61778.5593875416. The cubic root of 3816590400 is about 1562.7584332002.

The spelling of 3816590400 in words is "three billion, eight hundred sixteen million, five hundred ninety thousand, four hundred".