3638606400 has 1344 divisors, whose sum is σ = 16932249600. Its totient is φ = 746496000.

The previous prime is 3638606383. The next prime is 3638606401. The reversal of 3638606400 is 46068363.

3638606400 is a `hidden beast` number, since 3 + 6 + 3 + 8 + 6 + 0 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3638606401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117374385 + ... + 117374415.

It is an arithmetic number, because the mean of its divisors is an integer number (12598400).

Almost surely, 2^3638606400 is an apocalyptic number.

3638606400 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 3638606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8466124800).

3638606400 is an abundant number, since it is smaller than the sum of its proper divisors (13293643200).

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

3638606400 is a wasteful number, since it uses less digits than its factorization.

3638606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3638606400 is about 60320.8620628054. The cubic root of 3638606400 is about 1538.0779980319.

The spelling of 3638606400 in words is "three billion, six hundred thirty-eight million, six hundred six thousand, four hundred".