361330920 has 288 divisors, whose sum is σ = 1310325120. Its totient is φ = 86169600.

The previous prime is 361330919. The next prime is 361330939. The reversal of 361330920 is 29033163.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2392845 + ... + 2392995.

It is an arithmetic number, because the mean of its divisors is an integer number (4549740).

Almost surely, 2^361330920 is an apocalyptic number.

361330920 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 361330920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655162560).

361330920 is an abundant number, since it is smaller than the sum of its proper divisors (948994200).

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

361330920 is a wasteful number, since it uses less digits than its factorization.

361330920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 361330920 is about 19008.7064262669. The cubic root of 361330920 is about 712.2542384159.

The spelling of 361330920 in words is "three hundred sixty-one million, three hundred thirty thousand, nine hundred twenty".