368804520 has 192 divisors, whose sum is σ = 1414333440. Its totient is φ = 81561600.

The previous prime is 368804453. The next prime is 368804531. The reversal of 368804520 is 25408863.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75760 + ... + 80480.

It is an arithmetic number, because the mean of its divisors is an integer number (7366320).

Almost surely, 2^368804520 is an apocalyptic number.

368804520 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 368804520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707166720).

368804520 is an abundant number, since it is smaller than the sum of its proper divisors (1045528920).

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

368804520 is a wasteful number, since it uses less digits than its factorization.

368804520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 368804520 is about 19204.2838970892. The cubic root of 368804520 is about 717.1314103542.

The spelling of 368804520 in words is "three hundred sixty-eight million, eight hundred four thousand, five hundred twenty".