365978640 has 80 divisors (see below), whose sum is σ = 1139659200. Its totient is φ = 97153536.

The previous prime is 365978629. The next prime is 365978681. The reversal of 365978640 is 46879563.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 365978640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51631 + ... + 58289.

It is an arithmetic number, because the mean of its divisors is an integer number (14245740).

Almost surely, 2^365978640 is an apocalyptic number.

365978640 is a gapful number since it is divisible by the number (30) 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 365978640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569829600).

365978640 is an abundant number, since it is smaller than the sum of its proper divisors (773680560).

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

365978640 is a wasteful number, since it uses less digits than its factorization.

365978640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904 (or 6898 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 365978640 is about 19130.5682090209. The cubic root of 365978640 is about 715.2950939324.

The spelling of 365978640 in words is "three hundred sixty-five million, nine hundred seventy-eight thousand, six hundred forty".