3642621400 has 96 divisors (see below), whose sum is σ = 9253537200. Its totient is φ = 1322508800.

The previous prime is 3642621391. The next prime is 3642621413. The reversal of 3642621400 is 41262463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2439054 + ... + 2440546.

Almost surely, 2^3642621400 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 3642621400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626768600).

3642621400 is an abundant number, since it is smaller than the sum of its proper divisors (5610915800).

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

3642621400 is a wasteful number, since it uses less digits than its factorization.

3642621400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 3642621400 is about 60354.1332470279. The cubic root of 3642621400 is about 1538.6435179478.

Adding to 3642621400 its reverse (41262463), we get a palindrome (3683883863).

The spelling of 3642621400 in words is "three billion, six hundred forty-two million, six hundred twenty-one thousand, four hundred".