3407066985 has 64 divisors (see below), whose sum is σ = 6943795200. Its totient is φ = 1388731392.

The previous prime is 3407066969. The next prime is 3407067011. The reversal of 3407066985 is 5896607043.

It is not a de Polignac number, because 3407066985 - 2⁴ = 3407066969 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16315 + ... + 84144.

It is an arithmetic number, because the mean of its divisors is an integer number (108496800).

Almost surely, 2^3407066985 is an apocalyptic number.

3407066985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3407066985 is an abundant number, since it is smaller than the sum of its proper divisors (3536728215).

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

3407066985 is a wasteful number, since it uses less digits than its factorization.

3407066985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100510.

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 3407066985 is about 58370.0863884918. The cubic root of 3407066985 is about 1504.7356974896.

The spelling of 3407066985 in words is "three billion, four hundred seven million, sixty-six thousand, nine hundred eighty-five".