368504064 has 216 divisors, whose sum is σ = 1124952192. Its totient is φ = 115875840.

The previous prime is 368504057. The next prime is 368504117. The reversal of 368504064 is 460405863.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4439767 + ... + 4439849.

It is an arithmetic number, because the mean of its divisors is an integer number (5208112).

Almost surely, 2^368504064 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 368504064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562476096).

368504064 is an abundant number, since it is smaller than the sum of its proper divisors (756448128).

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

368504064 is a wasteful number, since it uses less digits than its factorization.

368504064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 368504064 is about 19196.4596735961. The cubic root of 368504064 is about 716.9366143204.

The spelling of 368504064 in words is "three hundred sixty-eight million, five hundred four thousand, sixty-four".