368690688 has 240 divisors, whose sum is σ = 1149033600. Its totient is φ = 113541120.

The previous prime is 368690671. The next prime is 368690741. The reversal of 368690688 is 886096863.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4142548 + ... + 4142636.

It is an arithmetic number, because the mean of its divisors is an integer number (4787640).

Almost surely, 2^368690688 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 368690688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574516800).

368690688 is an abundant number, since it is smaller than the sum of its proper divisors (780342912).

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

368690688 is a wasteful number, since it uses less digits than its factorization.

368690688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 368690688 is about 19201.3199546281. The cubic root of 368690688 is about 717.0576215778.

The spelling of 368690688 in words is "three hundred sixty-eight million, six hundred ninety thousand, six hundred eighty-eight".