3671680265280 has 336 divisors, whose sum is σ = 13485980851200. Its totient is φ = 914856284160.

The previous prime is 3671680265273. The next prime is 3671680265317. The reversal of 3671680265280 is 825620861763.

3671680265280 is a `hidden beast` number, since 3 + 6 + 7 + 16 + 80 + 26 + 528 + 0 = 666.

It is a super-2 number, since 2×3671680265280² (a number of 26 digits) contains 22 as substring.

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, 1880061 + ... + 3298179.

Almost surely, 2^{3671680265280} is an apocalyptic number.

3671680265280 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 3671680265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742990425600).

3671680265280 is an abundant number, since it is smaller than the sum of its proper divisors (9814300585920).

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

3671680265280 is a wasteful number, since it uses less digits than its factorization.

3671680265280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418202 (or 1418189 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3671680265280 in words is "three trillion, six hundred seventy-one billion, six hundred eighty million, two hundred sixty-five thousand, two hundred eighty".