3639686400 has 1080 divisors, whose sum is σ = 16560815040. Its totient is φ = 769720320.

The previous prime is 3639686389. The next prime is 3639686423. The reversal of 3639686400 is 46869363.

3639686400 is a `hidden beast` number, since 3 + 639 + 6 + 8 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61689571 + ... + 61689629.

It is an arithmetic number, because the mean of its divisors is an integer number (15334088).

Almost surely, 2^3639686400 is an apocalyptic number.

3639686400 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 3639686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8280407520).

3639686400 is an abundant number, since it is smaller than the sum of its proper divisors (12921128640).

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

3639686400 is a wasteful number, since it uses less digits than its factorization.

3639686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3639686400 is about 60329.8135253210. The cubic root of 3639686400 is about 1538.2301588440.

The spelling of 3639686400 in words is "three billion, six hundred thirty-nine million, six hundred eighty-six thousand, four hundred".