368824320 has 416 divisors, whose sum is σ = 1415404800. Its totient is φ = 90832896.

The previous prime is 368824303. The next prime is 368824327. The reversal of 368824320 is 23428863.

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 (368824327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12718066 + ... + 12718094.

Almost surely, 2^368824320 is an apocalyptic number.

368824320 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 368824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707702400).

368824320 is an abundant number, since it is smaller than the sum of its proper divisors (1046580480).

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

368824320 is a wasteful number, since it uses less digits than its factorization.

368824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 368824320 is about 19204.7994001500. The cubic root of 368824320 is about 717.1442436639.

368824320 divided by its product of nonzero digits (55296) gives a triangular number (6670 = T₁₁₅).

The spelling of 368824320 in words is "three hundred sixty-eight million, eight hundred twenty-four thousand, three hundred twenty".