3357405363312 has 960 divisors, whose sum is σ = 13392522823680. Its totient is φ = 755653017600.

The previous prime is 3357405363289. The next prime is 3357405363383. The reversal of 3357405363312 is 2133635047533.

3357405363312 is a `hidden beast` number, since 3 + 3 + 5 + 7 + 4 + 0 + 5 + 3 + 633 + 1 + 2 = 666.

3357405363312 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 2×3357405363312² (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 191 ways as a sum of consecutive naturals, for example, 1075745112 + ... + 1075748232.

It is an arithmetic number, because the mean of its divisors is an integer number (13950544608).

Almost surely, 2^{3357405363312} 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 3357405363312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696261411840).

3357405363312 is an abundant number, since it is smaller than the sum of its proper divisors (10035117460368).

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

3357405363312 is a wasteful number, since it uses less digits than its factorization.

3357405363312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 45.

The spelling of 3357405363312 in words is "three trillion, three hundred fifty-seven billion, four hundred five million, three hundred sixty-three thousand, three hundred twelve".