3642430920 has 64 divisors (see below), whose sum is σ = 10932304320. Its totient is φ = 970869504.

The previous prime is 3642430879. The next prime is 3642430937. The reversal of 3642430920 is 290342463.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319234 + ... + 330446.

It is an arithmetic number, because the mean of its divisors is an integer number (170817255).

Almost surely, 2^3642430920 is an apocalyptic number.

3642430920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3642430920 is an abundant number, since it is smaller than the sum of its proper divisors (7289873400).

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

3642430920 is a wasteful number, since it uses less digits than its factorization.

3642430920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13934 (or 13930 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 3642430920 is about 60352.5552068842. Note that the first 3 decimals coincide. The cubic root of 3642430920 is about 1538.6166978921.

The spelling of 3642430920 in words is "three billion, six hundred forty-two million, four hundred thirty thousand, nine hundred twenty".