3642391080 has 96 divisors (see below), whose sum is σ = 12061188360. Its totient is φ = 952972800.

The previous prime is 3642391073. The next prime is 3642391091. The reversal of 3642391080 is 801932463.

3642391080 is a `hidden beast` number, since 3 + 642 + 3 + 9 + 1 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3304640196 + 337750884 = 57486^2 + 18378^2 .

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

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, 76371 + ... + 114530.

Almost surely, 2^3642391080 is an apocalyptic number.

3642391080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3642391080 is an abundant number, since it is smaller than the sum of its proper divisors (8418797280).

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

3642391080 is a wasteful number, since it uses less digits than its factorization.

3642391080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190971 (or 190964 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3642391080 is about 60352.2251453913. The cubic root of 3642391080 is about 1538.6110882032.

The spelling of 3642391080 in words is "three billion, six hundred forty-two million, three hundred ninety-one thousand, eighty".