361440360 has 64 divisors (see below), whose sum is σ = 1204804800. Its totient is φ = 96383808.

The previous prime is 361440353. The next prime is 361440367. The reversal of 361440360 is 63044163.

361440360 is a `hidden beast` number, since 3 + 614 + 40 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (361440353) and next prime (361440367).

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

It is not an unprimeable number, because it can be changed into a prime (361440367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166254 + ... + 168413.

It is an arithmetic number, because the mean of its divisors is an integer number (18825075).

Almost surely, 2^361440360 is an apocalyptic number.

361440360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361440360 is an abundant number, since it is smaller than the sum of its proper divisors (843364440).

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

361440360 is a wasteful number, since it uses less digits than its factorization.

361440360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334687 (or 334677 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 361440360 is about 19011.5848892195. The cubic root of 361440360 is about 712.3261404049.

The spelling of 361440360 in words is "three hundred sixty-one million, four hundred forty thousand, three hundred sixty".