368980920 has 768 divisors, whose sum is σ = 1698278400. Its totient is φ = 69672960.

The previous prime is 368980889. The next prime is 368980933. The reversal of 368980920 is 29089863.

It is a super-2 number, since 2×368980920² = 272293838648092800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12723466 + ... + 12723494.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^368980920 is an apocalyptic number.

368980920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368980920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849139200).

368980920 is an abundant number, since it is smaller than the sum of its proper divisors (1329297480).

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

368980920 is a wasteful number, since it uses less digits than its factorization.

368980920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 368980920 is about 19208.8760733157. The cubic root of 368980920 is about 717.2457272986.

The spelling of 368980920 in words is "three hundred sixty-eight million, nine hundred eighty thousand, nine hundred twenty".