364672000 has 352 divisors, whose sum is σ = 1164923136. Its totient is φ = 110592000.

The previous prime is 364671977. The next prime is 364672027. The reversal of 364672000 is 276463.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 364672000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9855982 + ... + 9856018.

Almost surely, 2^364672000 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 364672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582461568).

364672000 is an abundant number, since it is smaller than the sum of its proper divisors (800251136).

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

364672000 is a wasteful number, since it uses less digits than its factorization.

364672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 364672000 is about 19096.3870928508. The cubic root of 364672000 is about 714.4428149684.

The spelling of 364672000 in words is "three hundred sixty-four million, six hundred seventy-two thousand".