364132944 has 240 divisors, whose sum is σ = 1234714624. Its totient is φ = 97977600.

The previous prime is 364132939. The next prime is 364132957. The reversal of 364132944 is 449231463.

It is a happy number.

364132944 is a `hidden beast` number, since 3 + 641 + 3 + 2 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×364132944² = 265185601812214272, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 364132899 and 364132908.

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 47 ways as a sum of consecutive naturals, for example, 1343529 + ... + 1343799.

Almost surely, 2^364132944 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 364132944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617357312).

364132944 is an abundant number, since it is smaller than the sum of its proper divisors (870581680).

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

364132944 is a wasteful number, since it uses less digits than its factorization.

364132944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 357 counting only the distinct ones).

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

The square root of 364132944 is about 19082.2677897571. The cubic root of 364132944 is about 714.0906129850.

It can be divided in two parts, 3641 and 32944, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 364132944 in words is "three hundred sixty-four million, one hundred thirty-two thousand, nine hundred forty-four".