3354327941256 has 192 divisors, whose sum is σ = 9719656128000. Its totient is φ = 1042462586880.

The previous prime is 3354327941197. The next prime is 3354327941291. The reversal of 3354327941256 is 6521497234533.

3354327941256 is a `hidden beast` number, since 3 + 3 + 543 + 2 + 7 + 9 + 41 + 2 + 56 = 666.

It is a super-2 number, since 2×3354327941256² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76632705 + ... + 76676463.

It is an arithmetic number, because the mean of its divisors is an integer number (50623209000).

Almost surely, 2^{3354327941256} is an apocalyptic number.

3354327941256 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 3354327941256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4859828064000).

3354327941256 is an abundant number, since it is smaller than the sum of its proper divisors (6365328186744).

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

3354327941256 is a wasteful number, since it uses less digits than its factorization.

3354327941256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44964 (or 44957 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The spelling of 3354327941256 in words is "three trillion, three hundred fifty-four billion, three hundred twenty-seven million, nine hundred forty-one thousand, two hundred fifty-six".