3385412319744 has 1600 divisors, whose sum is σ = 13522094530560. Its totient is φ = 818040176640.

The previous prime is 3385412319739. The next prime is 3385412319769. The reversal of 3385412319744 is 4479132145833.

3385412319744 is a `hidden beast` number, since 3 + 3 + 8 + 541 + 2 + 3 + 1 + 97 + 4 + 4 = 666.

It is a super-2 number, since 2×3385412319744² (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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2222856967 + ... + 2222858489.

Almost surely, 2^{3385412319744} 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 3385412319744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761047265280).

3385412319744 is an abundant number, since it is smaller than the sum of its proper divisors (10136682210816).

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

3385412319744 is a wasteful number, since it uses less digits than its factorization.

3385412319744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1598 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 3385412319744 in words is "three trillion, three hundred eighty-five billion, four hundred twelve million, three hundred nineteen thousand, seven hundred forty-four".