365945664 has 224 divisors, whose sum is σ = 1177747200. Its totient is φ = 98058240.

The previous prime is 365945659. The next prime is 365945687. The reversal of 365945664 is 466549563.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1597902 + ... + 1598130.

It is an arithmetic number, because the mean of its divisors is an integer number (5257800).

Almost surely, 2^365945664 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 365945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588873600).

365945664 is an abundant number, since it is smaller than the sum of its proper divisors (811801536).

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

365945664 is a wasteful number, since it uses less digits than its factorization.

365945664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 48.

The square root of 365945664 is about 19129.7063228895. The cubic root of 365945664 is about 715.2736097282.

The spelling of 365945664 in words is "three hundred sixty-five million, nine hundred forty-five thousand, six hundred sixty-four".