3382879078656 has 2592 divisors, whose sum is σ = 13849315280640. Its totient is φ = 809321103360.

The previous prime is 3382879078583. The next prime is 3382879078673. The reversal of 3382879078656 is 6568709782833.

It is a happy number.

3382879078656 is a `hidden beast` number, since 3 + 382 + 87 + 90 + 7 + 86 + 5 + 6 = 666.

It is a super-2 number, since 2×3382879078656² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34875042000 + ... + 34875042096.

Almost surely, 2^{3382879078656} is an apocalyptic number.

3382879078656 is a gapful number since it is divisible by the number (36) 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 3382879078656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6924657640320).

3382879078656 is an abundant number, since it is smaller than the sum of its proper divisors (10466436201984).

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

3382879078656 is a wasteful number, since it uses less digits than its factorization.

3382879078656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 3382879078656 in words is "three trillion, three hundred eighty-two billion, eight hundred seventy-nine million, seventy-eight thousand, six hundred fifty-six".