3420889528056 has 512 divisors, whose sum is σ = 12577449830400. Its totient is φ = 745325199360.

The previous prime is 3420889528033. The next prime is 3420889528057. The reversal of 3420889528056 is 6508259880243.

It is a happy number.

It is a super-2 number, since 2×3420889528056² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420889528057) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11699416 + ... + 11988248.

It is an arithmetic number, because the mean of its divisors is an integer number (24565331700).

Almost surely, 2^{3420889528056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420889528056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288724915200).

3420889528056 is an abundant number, since it is smaller than the sum of its proper divisors (9156560302344).

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

3420889528056 is a wasteful number, since it uses less digits than its factorization.

3420889528056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288919 (or 288915 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 3420889528056 in words is "three trillion, four hundred twenty billion, eight hundred eighty-nine million, five hundred twenty-eight thousand, fifty-six".