368806416 has 160 divisors (see below), whose sum is σ = 1108262400. Its totient is φ = 104509440.

The previous prime is 368806393. The next prime is 368806429. The reversal of 368806416 is 614608863.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 972915 + ... + 973293.

It is an arithmetic number, because the mean of its divisors is an integer number (6926640).

Almost surely, 2^368806416 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 368806416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554131200).

368806416 is an abundant number, since it is smaller than the sum of its proper divisors (739455984).

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

368806416 is a wasteful number, since it uses less digits than its factorization.

368806416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 368806416 is about 19204.3332610117. Note that the first 3 decimals coincide. The cubic root of 368806416 is about 717.1326392607.

The spelling of 368806416 in words is "three hundred sixty-eight million, eight hundred six thousand, four hundred sixteen".