361984320 has 336 divisors, whose sum is σ = 1325026560. Its totient is φ = 90574848.

The previous prime is 361984307. The next prime is 361984321. The reversal of 361984320 is 23489163.

361984320 is a `hidden beast` number, since 3 + 619 + 8 + 4 + 32 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361984321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4582041 + ... + 4582119.

Almost surely, 2^361984320 is an apocalyptic number.

361984320 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 361984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662513280).

361984320 is an abundant number, since it is smaller than the sum of its proper divisors (963042240).

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

361984320 is a wasteful number, since it uses less digits than its factorization.

361984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 361984320 is about 19025.8855247266. The cubic root of 361984320 is about 712.6833064836.

The spelling of 361984320 in words is "three hundred sixty-one million, nine hundred eighty-four thousand, three hundred twenty".