369361920 has 176 divisors, whose sum is σ = 1196758080. Its totient is φ = 97222656.

The previous prime is 369361913. The next prime is 369361933. The reversal of 369361920 is 29163963.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2134954 + ... + 2135126.

Almost surely, 2^369361920 is an apocalyptic number.

369361920 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 369361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598379040).

369361920 is an abundant number, since it is smaller than the sum of its proper divisors (827396160).

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

369361920 is a wasteful number, since it uses less digits than its factorization.

369361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 369361920 is about 19218.7908048347. The cubic root of 369361920 is about 717.4925120725.

The spelling of 369361920 in words is "three hundred sixty-nine million, three hundred sixty-one thousand, nine hundred twenty".