368425824 has 192 divisors, whose sum is σ = 1097349120. Its totient is φ = 107458560.

The previous prime is 368425807. The next prime is 368425829. The reversal of 368425824 is 428524863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368425829) 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 31 ways as a sum of consecutive naturals, for example, 3443179 + ... + 3443285.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2^368425824 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 368425824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548674560).

368425824 is an abundant number, since it is smaller than the sum of its proper divisors (728923296).

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

368425824 is a wasteful number, since it uses less digits than its factorization.

368425824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 368425824 is about 19194.4216896472. The cubic root of 368425824 is about 716.8858712427.

The spelling of 368425824 in words is "three hundred sixty-eight million, four hundred twenty-five thousand, eight hundred twenty-four".