361791360 has 320 divisors, whose sum is σ = 1478077920. Its totient is φ = 82612224.

The previous prime is 361791349. The next prime is 361791371. The reversal of 361791360 is 63197163.

361791360 is a `hidden beast` number, since 3 + 617 + 9 + 1 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (361791349) and next prime (361791371).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362382 + ... + 363378.

Almost surely, 2^361791360 is an apocalyptic number.

361791360 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 361791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739038960).

361791360 is an abundant number, since it is smaller than the sum of its proper divisors (1116286560).

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

361791360 is an equidigital number, since it uses as much as digits as its factorization.

361791360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 361791360 is about 19020.8138627137. The cubic root of 361791360 is about 712.5566492354.

The spelling of 361791360 in words is "three hundred sixty-one million, seven hundred ninety-one thousand, three hundred sixty".