368829120 has 224 divisors, whose sum is σ = 1303568640. Its totient is φ = 87592960.

The previous prime is 368829049. The next prime is 368829137. The reversal of 368829120 is 21928863.

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, 559351 + ... + 560009.

Almost surely, 2^368829120 is an apocalyptic number.

368829120 is a gapful number since it is divisible by the number (30) 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 368829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651784320).

368829120 is an abundant number, since it is smaller than the sum of its proper divisors (934739520).

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

368829120 is a wasteful number, since it uses less digits than its factorization.

368829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 368829120 is about 19204.9243685051. The cubic root of 368829120 is about 717.1473547001.

The spelling of 368829120 in words is "three hundred sixty-eight million, eight hundred twenty-nine thousand, one hundred twenty".