368438304 has 192 divisors, whose sum is σ = 1093962240. Its totient is φ = 107827200.

The previous prime is 368438281. The next prime is 368438309. The reversal of 368438304 is 403834863.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (368438309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3647854 + ... + 3647954.

It is an arithmetic number, because the mean of its divisors is an integer number (5697720).

Almost surely, 2^368438304 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 368438304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546981120).

368438304 is an abundant number, since it is smaller than the sum of its proper divisors (725523936).

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

368438304 is a wasteful number, since it uses less digits than its factorization.

368438304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 368438304 is about 19194.7467813462. The cubic root of 368438304 is about 716.8939657121.

The spelling of 368438304 in words is "three hundred sixty-eight million, four hundred thirty-eight thousand, three hundred four".