364421088 has 72 divisors (see below), whose sum is σ = 1042259400. Its totient is φ = 120777984.

The previous prime is 364421063. The next prime is 364421093. The reversal of 364421088 is 880124463.

364421088 is a `hidden beast` number, since 3 + 644 + 2 + 1 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48018 + ... + 55086.

It is an arithmetic number, because the mean of its divisors is an integer number (14475825).

Almost surely, 2^364421088 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 364421088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521129700).

364421088 is an abundant number, since it is smaller than the sum of its proper divisors (677838312).

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

364421088 is a wasteful number, since it uses less digits than its factorization.

364421088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7264 (or 7253 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 364421088 is about 19089.8163427520. The cubic root of 364421088 is about 714.2789202859.

The spelling of 364421088 in words is "three hundred sixty-four million, four hundred twenty-one thousand, eighty-eight".