368808120 has 128 divisors (see below), whose sum is σ = 1259496000. Its totient is φ = 95938560.

The previous prime is 368808101. The next prime is 368808131. The reversal of 368808120 is 21808863.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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, 40116 + ... + 48444.

Almost surely, 2^368808120 is an apocalyptic number.

368808120 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 368808120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629748000).

368808120 is an abundant number, since it is smaller than the sum of its proper divisors (890687880).

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

368808120 is a wasteful number, since it uses less digits than its factorization.

368808120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8390 (or 8380 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 368808120 is about 19204.3776259477. The cubic root of 368808120 is about 717.1337437174.

The spelling of 368808120 in words is "three hundred sixty-eight million, eight hundred eight thousand, one hundred twenty".