3352846258944 has 1296 divisors, whose sum is σ = 13150770595200. Its totient is φ = 837455044608.

The previous prime is 3352846258919. The next prime is 3352846259023. The reversal of 3352846258944 is 4498526482533.

3352846258944 is a `hidden beast` number, since 3 + 3 + 5 + 2 + 8 + 4 + 6 + 2 + 589 + 44 = 666.

It is a super-2 number, since 2×3352846258944² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 1087525627 + ... + 1087528709.

Almost surely, 2^{3352846258944} 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 3352846258944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6575385297600).

3352846258944 is an abundant number, since it is smaller than the sum of its proper divisors (9797924336256).

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

3352846258944 is a wasteful number, since it uses less digits than its factorization.

3352846258944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3127 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 63.

The spelling of 3352846258944 in words is "three trillion, three hundred fifty-two billion, eight hundred forty-six million, two hundred fifty-eight thousand, nine hundred forty-four".