361361520 has 320 divisors, whose sum is σ = 1421159040. Its totient is φ = 83607552.

The previous prime is 361361519. The next prime is 361361531. The reversal of 361361520 is 25163163.

361361520 is a `hidden beast` number, since 3 + 6 + 136 + 1 + 520 = 666.

361361520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 476982 + ... + 477738.

It is an arithmetic number, because the mean of its divisors is an integer number (4441122).

Almost surely, 2^361361520 is an apocalyptic number.

361361520 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 361361520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710579520).

361361520 is an abundant number, since it is smaller than the sum of its proper divisors (1059797520).

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

361361520 is a wasteful number, since it uses less digits than its factorization.

361361520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 361361520 is about 19009.5113035554. The cubic root of 361361520 is about 712.2743440525.

The spelling of 361361520 in words is "three hundred sixty-one million, three hundred sixty-one thousand, five hundred twenty".