368932320 has 168 divisors, whose sum is σ = 1307219256. Its totient is φ = 98350848.

The previous prime is 368932297. The next prime is 368932321. The reversal of 368932320 is 23239863.

It is a super-2 number, since 2×368932320² = 272222113481164800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368932321) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 115059 + ... + 118221.

It is an arithmetic number, because the mean of its divisors is an integer number (7781067).

Almost surely, 2^368932320 is an apocalyptic number.

368932320 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 368932320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653609628).

368932320 is an abundant number, since it is smaller than the sum of its proper divisors (938286936).

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

368932320 is an equidigital number, since it uses as much as digits as its factorization.

368932320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 368932320 is about 19207.6109914794. The cubic root of 368932320 is about 717.2142354509.

The spelling of 368932320 in words is "three hundred sixty-eight million, nine hundred thirty-two thousand, three hundred twenty".