3401995215744 has 768 divisors, whose sum is σ = 11247556320000. Its totient is φ = 980289257472.

The previous prime is 3401995215733. The next prime is 3401995215767. The reversal of 3401995215744 is 4475125991043.

3401995215744 is a `hidden beast` number, since 3 + 4 + 0 + 19 + 9 + 52 + 1 + 574 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2384018359 + ... + 2384019785.

It is an arithmetic number, because the mean of its divisors is an integer number (14645255625).

Almost surely, 2^{3401995215744} is an apocalyptic number.

3401995215744 is a gapful number since it is divisible by the number (34) 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 3401995215744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623778160000).

3401995215744 is an abundant number, since it is smaller than the sum of its proper divisors (7845561104256).

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

3401995215744 is a wasteful number, since it uses less digits than its factorization.

3401995215744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3401995215744 in words is "three trillion, four hundred one billion, nine hundred ninety-five million, two hundred fifteen thousand, seven hundred forty-four".