3997652400 has 240 divisors, whose sum is σ = 16261657600. Its totient is φ = 913731840.

The previous prime is 3997652389. The next prime is 3997652413. The reversal of 3997652400 is 42567993.

It is a happy number.

3997652400 is a `hidden beast` number, since 39 + 97 + 6 + 524 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3997652400² = 31962449422451520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 49161 + ... + 102039.

Almost surely, 2^3997652400 is an apocalyptic number.

3997652400 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 3997652400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8130828800).

3997652400 is an abundant number, since it is smaller than the sum of its proper divisors (12264005200).

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

3997652400 is a wasteful number, since it uses less digits than its factorization.

3997652400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52913 (or 52896 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3997652400 is about 63226.9910718516. The cubic root of 3997652400 is about 1587.0904426356.

The spelling of 3997652400 in words is "three billion, nine hundred ninety-seven million, six hundred fifty-two thousand, four hundred".