3407051106100 has 72 divisors (see below), whose sum is σ = 7648882940160. Its totient is φ = 1315716420480.

The previous prime is 3407051106097. The next prime is 3407051106127. The reversal of 3407051106100 is 16011507043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40276449 + ... + 40360951.

It is an arithmetic number, because the mean of its divisors is an integer number (106234485280).

Almost surely, 2^{3407051106100} is an apocalyptic number.

It is an amenable number.

3407051106100 is an abundant number, since it is smaller than the sum of its proper divisors (4241831834060).

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

3407051106100 is a wasteful number, since it uses less digits than its factorization.

3407051106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98449 (or 98442 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 3407051106100 in words is "three trillion, four hundred seven billion, fifty-one million, one hundred six thousand, one hundred".