364472136 has 160 divisors (see below), whose sum is σ = 1228392000. Its totient is φ = 98630784.

The previous prime is 364472123. The next prime is 364472159. The reversal of 364472136 is 631274463.

It is a happy number.

364472136 is a `hidden beast` number, since 3 + 644 + 7 + 2 + 1 + 3 + 6 = 666.

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

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 364472136.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84070 + ... + 88298.

It is an arithmetic number, because the mean of its divisors is an integer number (7677450).

Almost surely, 2^364472136 is an apocalyptic number.

364472136 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 364472136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614196000).

364472136 is an abundant number, since it is smaller than the sum of its proper divisors (863919864).

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

364472136 is a wasteful number, since it uses less digits than its factorization.

364472136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4260 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 364472136 is about 19091.1533438920. The cubic root of 364472136 is about 714.3122707231.

It can be divided in two parts, 36447 and 2136, that added together give a palindrome (38583).

The spelling of 364472136 in words is "three hundred sixty-four million, four hundred seventy-two thousand, one hundred thirty-six".