3497158640601 has 24 divisors (see below), whose sum is σ = 5352207390504. Its totient is φ = 2192813844480.

The previous prime is 3497158640587. The next prime is 3497158640623. The reversal of 3497158640601 is 1060468517943.

3497158640601 is a `hidden beast` number, since 3 + 497 + 1 + 58 + 6 + 40 + 60 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 437979240000 + 3059179400601 = 661800^2 + 1749051^2 .

It is not a de Polignac number, because 3497158640601 - 2¹⁸ = 3497158378457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3497158648601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7490236 + ... + 7943421.

It is an arithmetic number, because the mean of its divisors is an integer number (223008641271).

Almost surely, 2^{3497158640601} is an apocalyptic number.

It is an amenable number.

3497158640601 is a deficient number, since it is larger than the sum of its proper divisors (1855048749903).

3497158640601 is a wasteful number, since it uses less digits than its factorization.

3497158640601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15435161 (or 15435158 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3497158640601 in words is "three trillion, four hundred ninety-seven billion, one hundred fifty-eight million, six hundred forty thousand, six hundred one".