364380768 has 120 divisors (see below), whose sum is σ = 1077770232. Its totient is φ = 120766464.

The previous prime is 364380713. The next prime is 364380769. The reversal of 364380768 is 867083463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364380769) 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, 665871 + ... + 666417.

Almost surely, 2^364380768 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 364380768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538885116).

364380768 is an abundant number, since it is smaller than the sum of its proper divisors (713389464).

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

364380768 is a wasteful number, since it uses less digits than its factorization.

364380768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 364380768 is about 19088.7602530913. The cubic root of 364380768 is about 714.2525764131.

The spelling of 364380768 in words is "three hundred sixty-four million, three hundred eighty thousand, seven hundred sixty-eight".