3680862716160 has 432 divisors, whose sum is σ = 15320790226560. Its totient is φ = 797058662400.

The previous prime is 3680862716147. The next prime is 3680862716173. The reversal of 3680862716160 is 616172680863.

3680862716160 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 8 + 627 + 1 + 6 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3680862716147) and next prime (3680862716173).

It is a junction number, because it is equal to n+sod(n) for n = 3680862716097 and 3680862716106.

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 47 ways as a sum of consecutive naturals, for example, 330960 + ... + 2733360.

Almost surely, 2^{3680862716160} is an apocalyptic number.

3680862716160 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 3680862716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660395113280).

3680862716160 is an abundant number, since it is smaller than the sum of its proper divisors (11639927510400).

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

3680862716160 is a wasteful number, since it uses less digits than its factorization.

3680862716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402454 (or 2402437 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 3680862716160 in words is "three trillion, six hundred eighty billion, eight hundred sixty-two million, seven hundred sixteen thousand, one hundred sixty".