361370880 has 432 divisors, whose sum is σ = 1428510720. Its totient is φ = 83607552.

The previous prime is 361370879. The next prime is 361370903. The reversal of 361370880 is 88073163.

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

It is a congruent number.

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, 2845377 + ... + 2845503.

Almost surely, 2^361370880 is an apocalyptic number.

361370880 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 361370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714255360).

361370880 is an abundant number, since it is smaller than the sum of its proper divisors (1067139840).

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

361370880 is a wasteful number, since it uses less digits than its factorization.

361370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 361370880 is about 19009.7574945079. The cubic root of 361370880 is about 712.2804937852.

The spelling of 361370880 in words is "three hundred sixty-one million, three hundred seventy thousand, eight hundred eighty".