3420112646556 has 72 divisors (see below), whose sum is σ = 8780934249360. Its totient is φ = 1122211079424.

The previous prime is 3420112646443. The next prime is 3420112646609. The reversal of 3420112646556 is 6556462110243.

3420112646556 is a `hidden beast` number, since 3 + 4 + 20 + 1 + 12 + 64 + 6 + 556 = 666.

3420112646556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3420112646556² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59251 + ... + 2616053.

It is an arithmetic number, because the mean of its divisors is an integer number (121957420130).

Almost surely, 2^{3420112646556} is an apocalyptic number.

3420112646556 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 3420112646556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390467124680).

3420112646556 is an abundant number, since it is smaller than the sum of its proper divisors (5360821602804).

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

3420112646556 is a wasteful number, since it uses less digits than its factorization.

3420112646556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557395 (or 2557390 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 3420112646556 its reverse (6556462110243), we get a palindrome (9976574756799).

The spelling of 3420112646556 in words is "three trillion, four hundred twenty billion, one hundred twelve million, six hundred forty-six thousand, five hundred fifty-six".