364344444 has 18 divisors (see below), whose sum is σ = 920981880. Its totient is φ = 121448136.

The previous prime is 364344397. The next prime is 364344467. The reversal of 364344444 is 444443463.

364344444 is a `hidden beast` number, since 3 + 643 + 4 + 4 + 4 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 10120679 = 364344444 / (3 + 6 + 4 + 3 + 4 + 4 + 4 + 4 + 4).

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

It is a junction number, because it is equal to n+sod(n) for n = 364344399 and 364344408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5060304 + ... + 5060375.

It is an arithmetic number, because the mean of its divisors is an integer number (51165660).

Almost surely, 2^364344444 is an apocalyptic number.

It is an amenable number.

364344444 is an abundant number, since it is smaller than the sum of its proper divisors (556637436).

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

364344444 is a wasteful number, since it uses less digits than its factorization.

364344444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10120689 (or 10120684 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

The square root of 364344444 is about 19087.8087794278. The cubic root of 364344444 is about 714.2288417423.

The spelling of 364344444 in words is "three hundred sixty-four million, three hundred forty-four thousand, four hundred forty-four".