364749008 has 80 divisors (see below), whose sum is σ = 833852880. Its totient is φ = 152936448.

The previous prime is 364749001. The next prime is 364749017. The reversal of 364749008 is 800947463.

It can be written as a sum of positive squares in 8 ways, for example, as 22202944 + 342546064 = 4712^2 + 18508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364749001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100766 + ... + 104322.

It is an arithmetic number, because the mean of its divisors is an integer number (10423161).

Almost surely, 2^364749008 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 364749008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416926440).

364749008 is an abundant number, since it is smaller than the sum of its proper divisors (469103872).

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

364749008 is a wasteful number, since it uses less digits than its factorization.

364749008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 364749008 is about 19098.4032840445. The cubic root of 364749008 is about 714.4931011983.

The spelling of 364749008 in words is "three hundred sixty-four million, seven hundred forty-nine thousand, eight".