361357360 has 160 divisors (see below), whose sum is σ = 1056182400. Its totient is φ = 114250752.

The previous prime is 361357273. The next prime is 361357361. The reversal of 361357360 is 63753163.

It is not an unprimeable number, because it can be changed into a prime (361357361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356214 + ... + 357226.

It is an arithmetic number, because the mean of its divisors is an integer number (6601140).

Almost surely, 2^361357360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361357360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528091200).

361357360 is an abundant number, since it is smaller than the sum of its proper divisors (694825040).

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

361357360 is a wasteful number, since it uses less digits than its factorization.

361357360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 34.

The square root of 361357360 is about 19009.4018843308. The cubic root of 361357360 is about 712.2716108039.

The spelling of 361357360 in words is "three hundred sixty-one million, three hundred fifty-seven thousand, three hundred sixty".