3638400624 has 120 divisors (see below), whose sum is σ = 10701545712. Its totient is φ = 1152506880.

The previous prime is 3638400599. The next prime is 3638400631. The reversal of 3638400624 is 4260048363.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 221164 + ... + 237044.

Almost surely, 2^3638400624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3638400624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5350772856).

3638400624 is an abundant number, since it is smaller than the sum of its proper divisors (7063145088).

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

3638400624 is a wasteful number, since it uses less digits than its factorization.

3638400624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15975 (or 15966 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3638400624 is about 60319.1563601481. The cubic root of 3638400624 is about 1538.0490029103.

Adding to 3638400624 its reverse (4260048363), we get a palindrome (7898448987).

The spelling of 3638400624 in words is "three billion, six hundred thirty-eight million, four hundred thousand, six hundred twenty-four".