361516680 has 192 divisors, whose sum is σ = 1375920000. Its totient is φ = 80593920.

The previous prime is 361516669. The next prime is 361516723. The reversal of 361516680 is 86615163.

It is a happy number.

361516680 is a `hidden beast` number, since 3 + 61 + 516 + 6 + 80 = 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 47 ways as a sum of consecutive naturals, for example, 101571 + ... + 105069.

It is an arithmetic number, because the mean of its divisors is an integer number (7166250).

Almost surely, 2^361516680 is an apocalyptic number.

361516680 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 361516680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960000).

361516680 is an abundant number, since it is smaller than the sum of its proper divisors (1014403320).

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

361516680 is a wasteful number, since it uses less digits than its factorization.

361516680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 361516680 is about 19013.5919804754. The cubic root of 361516680 is about 712.3762739917.

The spelling of 361516680 in words is "three hundred sixty-one million, five hundred sixteen thousand, six hundred eighty".