364008960 has 480 divisors, whose sum is σ = 1503957312. Its totient is φ = 79626240.

The previous prime is 364008871. The next prime is 364008989. The reversal of 364008960 is 69800463.

364008960 is a `hidden beast` number, since 3 + 640 + 0 + 8 + 9 + 6 + 0 = 666.

364008960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5967330 + ... + 5967390.

Almost surely, 2^364008960 is an apocalyptic number.

364008960 is a gapful number since it is divisible by the number (30) 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 364008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751978656).

364008960 is an abundant number, since it is smaller than the sum of its proper divisors (1139948352).

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

364008960 is a wasteful number, since it uses less digits than its factorization.

364008960 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 364008960 is about 19079.0188426973. The cubic root of 364008960 is about 714.0095566360.

The spelling of 364008960 in words is "three hundred sixty-four million, eight thousand, nine hundred sixty".