3351719264256 has 840 divisors, whose sum is σ = 11119060459584. Its totient is φ = 1001379594240.

The previous prime is 3351719264221. The next prime is 3351719264317. The reversal of 3351719264256 is 6524629171533.

3351719264256 is a `hidden beast` number, since 3 + 3 + 517 + 19 + 2 + 64 + 2 + 56 = 666.

It is a super-2 number, since 2×3351719264256² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12744179581 + ... + 12744179843.

Almost surely, 2^{3351719264256} is an apocalyptic number.

3351719264256 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 3351719264256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559530229792).

3351719264256 is an abundant number, since it is smaller than the sum of its proper divisors (7767341195328).

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

3351719264256 is an frugal number, since it uses more digits than its factorization.

3351719264256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 376 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 3351719264256 in words is "three trillion, three hundred fifty-one billion, seven hundred nineteen million, two hundred sixty-four thousand, two hundred fifty-six".