364876416 has 192 divisors, whose sum is σ = 1122750720. Its totient is φ = 113473536.

The previous prime is 364876403. The next prime is 364876427. The reversal of 364876416 is 614678463.

It is a happy number.

364876416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1245166 + ... + 1245458.

It is an arithmetic number, because the mean of its divisors is an integer number (5847660).

Almost surely, 2^364876416 is an apocalyptic number.

364876416 is a gapful number since it is divisible by the number (36) 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 364876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561375360).

364876416 is an abundant number, since it is smaller than the sum of its proper divisors (757874304).

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

364876416 is a wasteful number, since it uses less digits than its factorization.

364876416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 368 counting only the distinct ones).

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

The square root of 364876416 is about 19101.7385596181. The cubic root of 364876416 is about 714.5762830921.

The spelling of 364876416 in words is "three hundred sixty-four million, eight hundred seventy-six thousand, four hundred sixteen".