3402116600960 has 768 divisors, whose sum is σ = 10620989153280. Its totient is φ = 1029882470400.

The previous prime is 3402116600891. The next prime is 3402116600969. The reversal of 3402116600960 is 690066112043.

It is not an unprimeable number, because it can be changed into a prime (3402116600969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3129821537 + ... + 3129822623.

It is an arithmetic number, because the mean of its divisors is an integer number (13829412960).

Almost surely, 2^{3402116600960} 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 3402116600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310494576640).

3402116600960 is an abundant number, since it is smaller than the sum of its proper divisors (7218872552320).

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

3402116600960 is a wasteful number, since it uses less digits than its factorization.

3402116600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 3402116600960 in words is "three trillion, four hundred two billion, one hundred sixteen million, six hundred thousand, nine hundred sixty".