361539360 has 576 divisors, whose sum is σ = 1585059840. Its totient is φ = 72990720.

The previous prime is 361539359. The next prime is 361539371. The reversal of 361539360 is 63935163.

361539360 is a `hidden beast` number, since 3 + 61 + 539 + 3 + 60 = 666.

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

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, 4062196 + ... + 4062284.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^361539360 is an apocalyptic number.

361539360 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 361539360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

361539360 is an abundant number, since it is smaller than the sum of its proper divisors (1223520480).

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

361539360 is a wasteful number, since it uses less digits than its factorization.

361539360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 361539360 is about 19014.1883865707. The cubic root of 361539360 is about 712.3911708203.

The spelling of 361539360 in words is "three hundred sixty-one million, five hundred thirty-nine thousand, three hundred sixty".