3321270940680 has 1024 divisors, whose sum is σ = 14998044672000. Its totient is φ = 632711347200.

The previous prime is 3321270940667. The next prime is 3321270940709. The reversal of 3321270940680 is 860490721233.

3321270940680 is a `hidden beast` number, since 332 + 1 + 270 + 9 + 40 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×3321270940680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48947337 + ... + 49015143.

It is an arithmetic number, because the mean of its divisors is an integer number (14646528000).

Almost surely, 2^{3321270940680} is an apocalyptic number.

3321270940680 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 3321270940680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499022336000).

3321270940680 is an abundant number, since it is smaller than the sum of its proper divisors (11676773731320).

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

3321270940680 is a wasteful number, since it uses less digits than its factorization.

3321270940680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67895 (or 67885 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3321270940680 in words is "three trillion, three hundred twenty-one billion, two hundred seventy million, nine hundred forty thousand, six hundred eighty".