3402041162688 has 224 divisors, whose sum is σ = 11500268510720. Its totient is φ = 966047938560.

The previous prime is 3402041162683. The next prime is 3402041162713. The reversal of 3402041162688 is 8862611402043.

3402041162688 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 0 + 4 + 11 + 626 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402041162683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1108908 + ... + 2834388.

Almost surely, 2^{3402041162688} 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 3402041162688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750134255360).

3402041162688 is an abundant number, since it is smaller than the sum of its proper divisors (8098227348032).

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

3402041162688 is a wasteful number, since it uses less digits than its factorization.

3402041162688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725672 (or 1725656 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 3402041162688 in words is "three trillion, four hundred two billion, forty-one million, one hundred sixty-two thousand, six hundred eighty-eight".