364476672 has 324 divisors, whose sum is σ = 1287360256. Its totient is φ = 100776960.

The previous prime is 364476661. The next prime is 364476683. The reversal of 364476672 is 276674463.

It is an interprime number because it is at equal distance from previous prime (364476661) and next prime (364476683).

It is a tau number, because it is divible by the number of its divisors (324).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11757297 + ... + 11757327.

Almost surely, 2^364476672 is an apocalyptic number.

364476672 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 364476672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643680128).

364476672 is an abundant number, since it is smaller than the sum of its proper divisors (922883584).

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

364476672 is an frugal number, since it uses more digits than its factorization.

364476672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 43 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 364476672 is about 19091.2721420025. The cubic root of 364476672 is about 714.3152340105.

The spelling of 364476672 in words is "three hundred sixty-four million, four hundred seventy-six thousand, six hundred seventy-two".