3290579608680 has 512 divisors, whose sum is σ = 13508853120000. Its totient is φ = 693811298304.

The previous prime is 3290579608661. The next prime is 3290579608709. The reversal of 3290579608680 is 868069750923.

It is a super-2 number, since 2×3290579608680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158122116 + ... + 158142924.

It is an arithmetic number, because the mean of its divisors is an integer number (26384478750).

Almost surely, 2^{3290579608680} is an apocalyptic number.

3290579608680 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 3290579608680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6754426560000).

3290579608680 is an abundant number, since it is smaller than the sum of its proper divisors (10218273511320).

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

3290579608680 is a wasteful number, since it uses less digits than its factorization.

3290579608680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22458 (or 22448 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 3290579608680 in words is "three trillion, two hundred ninety billion, five hundred seventy-nine million, six hundred eight thousand, six hundred eighty".