361331880 has 384 divisors, whose sum is σ = 1413417600. Its totient is φ = 73156608.

The previous prime is 361331879. The next prime is 361331903. The reversal of 361331880 is 88133163.

It is a happy number.

361331880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2216679 + ... + 2216841.

It is an arithmetic number, because the mean of its divisors is an integer number (3680775).

Almost surely, 2^361331880 is an apocalyptic number.

361331880 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 361331880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706708800).

361331880 is an abundant number, since it is smaller than the sum of its proper divisors (1052085720).

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

361331880 is a wasteful number, since it uses less digits than its factorization.

361331880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 361331880 is about 19008.7316778369. The cubic root of 361331880 is about 712.2548691982.

The spelling of 361331880 in words is "three hundred sixty-one million, three hundred thirty-one thousand, eight hundred eighty".