3407406700338 has 48 divisors (see below), whose sum is σ = 7746739715520. Its totient is φ = 1080350121312.

The previous prime is 3407406700273. The next prime is 3407406700393. The reversal of 3407406700338 is 8330076047043.

It is a super-2 number, since 2×3407406700338² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3407406700293 and 3407406700302.

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, 22915981 + ... + 23064192.

It is an arithmetic number, because the mean of its divisors is an integer number (161390410740).

Almost surely, 2^{3407406700338} is an apocalyptic number.

3407406700338 is an abundant number, since it is smaller than the sum of its proper divisors (4339333015182).

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

3407406700338 is a wasteful number, since it uses less digits than its factorization.

3407406700338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45980383 (or 45980380 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 3407406700338 in words is "three trillion, four hundred seven billion, four hundred six million, seven hundred thousand, three hundred thirty-eight".