364438944 has 72 divisors (see below), whose sum is σ = 1039776192. Its totient is φ = 121080960.

The previous prime is 364438931. The next prime is 364438999. The reversal of 364438944 is 449834463.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 364438944.

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, 93417 + ... + 97239.

It is an arithmetic number, because the mean of its divisors is an integer number (14441336).

Almost surely, 2^364438944 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 364438944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519888096).

364438944 is an abundant number, since it is smaller than the sum of its proper divisors (675337248).

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

364438944 is a wasteful number, since it uses less digits than its factorization.

364438944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4159 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 364438944 is about 19090.2840209359. The cubic root of 364438944 is about 714.2905862372.

The spelling of 364438944 in words is "three hundred sixty-four million, four hundred thirty-eight thousand, nine hundred forty-four".