3345597894912 has 432 divisors, whose sum is σ = 11035551421440. Its totient is φ = 881045987328.

The previous prime is 3345597894911. The next prime is 3345597894917. The reversal of 3345597894912 is 2194987955433.

It is a super-2 number, since 2×3345597894912² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3345597894911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 715021789 + ... + 715026467.

It is an arithmetic number, because the mean of its divisors is an integer number (25545257920).

Almost surely, 2^{3345597894912} is an apocalyptic number.

3345597894912 is a gapful number since it is divisible by the number (32) 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 3345597894912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5517775710720).

3345597894912 is an abundant number, since it is smaller than the sum of its proper divisors (7689953526528).

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

3345597894912 is a wasteful number, since it uses less digits than its factorization.

3345597894912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5518 (or 5491 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 69.

The spelling of 3345597894912 in words is "three trillion, three hundred forty-five billion, five hundred ninety-seven million, eight hundred ninety-four thousand, nine hundred twelve".