364606704 has 320 divisors, whose sum is σ = 1329914880. Its totient is φ = 92897280.

The previous prime is 364606691. The next prime is 364606709. The reversal of 364606704 is 407606463.

364606704 is a `hidden beast` number, since 3 + 646 + 0 + 6 + 7 + 0 + 4 = 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 (364606709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3226552 + ... + 3226664.

It is an arithmetic number, because the mean of its divisors is an integer number (4155984).

Almost surely, 2^364606704 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 364606704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664957440).

364606704 is an abundant number, since it is smaller than the sum of its proper divisors (965308176).

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

364606704 is a wasteful number, since it uses less digits than its factorization.

364606704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

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

The square root of 364606704 is about 19094.6773735510. The cubic root of 364606704 is about 714.4001711290.

The spelling of 364606704 in words is "three hundred sixty-four million, six hundred six thousand, seven hundred four".