364396032 has 480 divisors, whose sum is σ = 1429908480. Its totient is φ = 86261760.

The previous prime is 364396031. The next prime is 364396051. The reversal of 364396032 is 230693463.

364396032 is a `hidden beast` number, since 3 + 6 + 43 + 9 + 603 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364396031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4612569 + ... + 4612647.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976).

Almost surely, 2^364396032 is an apocalyptic number.

364396032 is a gapful number since it is divisible by the number (32) 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 364396032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714954240).

364396032 is an abundant number, since it is smaller than the sum of its proper divisors (1065512448).

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

364396032 is a wasteful number, since it uses less digits than its factorization.

364396032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 364396032 is about 19089.1600653355. The cubic root of 364396032 is about 714.2625496792.

The spelling of 364396032 in words is "three hundred sixty-four million, three hundred ninety-six thousand, thirty-two".