368834688 has 256 divisors, whose sum is σ = 1182384000. Its totient is φ = 112803840.

The previous prime is 368834681. The next prime is 368834723. The reversal of 368834688 is 886438863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (368834681) 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, 2692156 + ... + 2692292.

Almost surely, 2^368834688 is an apocalyptic number.

368834688 is a gapful number since it is divisible by the number (38) 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 368834688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591192000).

368834688 is an abundant number, since it is smaller than the sum of its proper divisors (813549312).

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

368834688 is a wasteful number, since it uses less digits than its factorization.

368834688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 368834688 is about 19205.0693307783. The cubic root of 368834688 is about 717.1509634683.

The spelling of 368834688 in words is "three hundred sixty-eight million, eight hundred thirty-four thousand, six hundred eighty-eight".