364404096 has 160 divisors (see below), whose sum is σ = 1239630480. Its totient is φ = 104094720.

The previous prime is 364404067. The next prime is 364404107. The reversal of 364404096 is 690404463.

364404096 is a `hidden beast` number, since 3 + 644 + 0 + 4 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 364404096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70066 + ... + 75086.

Almost surely, 2^364404096 is an apocalyptic number.

364404096 is a gapful number since it is divisible by the number (36) 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 364404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619815240).

364404096 is an abundant number, since it is smaller than the sum of its proper divisors (875226384).

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

364404096 is an equidigital number, since it uses as much as digits as its factorization.

364404096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 364404096 is about 19089.3712835180. The cubic root of 364404096 is about 714.2678184621.

The spelling of 364404096 in words is "three hundred sixty-four million, four hundred four thousand, ninety-six".