3407874129 has 81 divisors (see below), whose sum is σ = 5697042897. Its totient is φ = 1961467200.

The previous prime is 3407874103. The next prime is 3407874139. The reversal of 3407874129 is 9214787043.

The square root of 3407874129 is 58377.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1022528529 + 2385345600 = 31977^2 + 48840^2 .

It is not a de Polignac number, because 3407874129 - 2²¹ = 3405776977 is a prime.

It is a super-2 number, since 2×3407874129² = 23227212158215017282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3407874139) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 55866759 + ... + 55866819.

Almost surely, 2^3407874129 is an apocalyptic number.

3407874129 is the 58377-th square number.

3407874129 is the 29189-th centered octagonal number.

It is an amenable number.

3407874129 is a deficient number, since it is larger than the sum of its proper divisors (2289168768).

3407874129 is a wasteful number, since it uses less digits than its factorization.

3407874129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The cubic root of 3407874129 is about 1504.8545135171.

The spelling of 3407874129 in words is "three billion, four hundred seven million, eight hundred seventy-four thousand, one hundred twenty-nine".