364068432 has 350 divisors, whose sum is σ = 1328687962. Its totient is φ = 96018048.

The previous prime is 364068427. The next prime is 364068437. The reversal of 364068432 is 234860463.

It is a happy number.

364068432 is a `hidden beast` number, since 3 + 640 + 6 + 8 + 4 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (364068427) and next prime (364068437).

It can be written as a sum of positive squares in only one way, i.e., 252047376 + 112021056 = 15876^2 + 10584^2 .

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 364068432 = 42³ + 714³ = 315³ + 693³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364068437) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 28005258 + ... + 28005270.

Almost surely, 2^364068432 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 364068432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664343981).

364068432 is an abundant number, since it is smaller than the sum of its proper divisors (964619530).

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

364068432 is an frugal number, since it uses more digits than its factorization.

364068432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 364068432 is about 19080.5773497554. The cubic root of 364068432 is about 714.0484396202.

The spelling of 364068432 in words is "three hundred sixty-four million, sixty-eight thousand, four hundred thirty-two".