3400117657 has 12 divisors (see below), whose sum is σ = 3614053120. Its totient is φ = 3198194496.

The previous prime is 3400117601. The next prime is 3400117687. The reversal of 3400117657 is 7567110043.

It is not a de Polignac number, because 3400117657 - 2⁷ = 3400117529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3400117687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 783628 + ... + 787954.

Almost surely, 2^3400117657 is an apocalyptic number.

It is an amenable number.

3400117657 is a deficient number, since it is larger than the sum of its proper divisors (213935463).

3400117657 is a wasteful number, since it uses less digits than its factorization.

3400117657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7080 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 3400117657 is about 58310.5278401765. The cubic root of 3400117657 is about 1503.7119411221.

The spelling of 3400117657 in words is "three billion, four hundred million, one hundred seventeen thousand, six hundred fifty-seven".