368788992 has 320 divisors, whose sum is σ = 1220921856. Its totient is φ = 97320960.

The previous prime is 368788957. The next prime is 368788997. The reversal of 368788992 is 299887863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368788997) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5051868 + ... + 5051940.

Almost surely, 2^368788992 is an apocalyptic number.

368788992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368788992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610460928).

368788992 is an abundant number, since it is smaller than the sum of its proper divisors (852132864).

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

368788992 is a wasteful number, since it uses less digits than its factorization.

368788992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 60.

The square root of 368788992 is about 19203.8796080375. The cubic root of 368788992 is about 717.1213456070.

The spelling of 368788992 in words is "three hundred sixty-eight million, seven hundred eighty-eight thousand, nine hundred ninety-two".