368580438100 has 72 divisors (see below), whose sum is σ = 917379895040. Its totient is φ = 125914158720.

The previous prime is 368580438053. The next prime is 368580438119. The reversal of 368580438100 is 1834085863.

It is a super-2 number, since 2×368580438100² (a number of 24 digits) contains 22 as substring.

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, 756540 + ... + 1144339.

Almost surely, 2^368580438100 is an apocalyptic number.

It is an amenable number.

368580438100 is an abundant number, since it is smaller than the sum of its proper divisors (548799456940).

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

368580438100 is a wasteful number, since it uses less digits than its factorization.

368580438100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901177 (or 1901170 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 368580438100 in words is "three hundred sixty-eight billion, five hundred eighty million, four hundred thirty-eight thousand, one hundred".