364315968 has 140 divisors (see below), whose sum is σ = 1115275392. Its totient is φ = 117469440.

The previous prime is 364315961. The next prime is 364315997. The reversal of 364315968 is 869513463.

It is a super-2 number, since 2×364315968² = 265452249079554048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364315961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159571 + ... + 161837.

Almost surely, 2^364315968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364315968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557637696).

364315968 is an abundant number, since it is smaller than the sum of its proper divisors (750959424).

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

364315968 is a wasteful number, since it uses less digits than its factorization.

364315968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2303 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 364315968 is about 19087.0628437169. The cubic root of 364315968 is about 714.2102339746.

The spelling of 364315968 in words is "three hundred sixty-four million, three hundred fifteen thousand, nine hundred sixty-eight".