361912320 has 768 divisors, whose sum is σ = 1698278400. Its totient is φ = 70778880.

The previous prime is 361912301. The next prime is 361912357. The reversal of 361912320 is 23219163.

361912320 is a `hidden beast` number, since 3 + 619 + 1 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21288952 + ... + 21288968.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^361912320 is an apocalyptic number.

361912320 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 361912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849139200).

361912320 is an abundant number, since it is smaller than the sum of its proper divisors (1336366080).

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

361912320 is a wasteful number, since it uses less digits than its factorization.

361912320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 361912320 is about 19023.9932716557. The cubic root of 361912320 is about 712.6360515817.

The spelling of 361912320 in words is "three hundred sixty-one million, nine hundred twelve thousand, three hundred twenty".