3466556643 has 16 divisors (see below), whose sum is σ = 5092192512. Its totient is φ = 2080140000.

The previous prime is 3466556633. The next prime is 3466556657.

3466556643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3466556643 - 2²⁸ = 3198121187 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3466556592 and 3466556601.

It is not an unprimeable number, because it can be changed into a prime (3466556633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516703 + ... + 523368.

It is an arithmetic number, because the mean of its divisors is an integer number (318262032).

Almost surely, 2^3466556643 is an apocalyptic number.

3466556643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3466556643 is a deficient number, since it is larger than the sum of its proper divisors (1625635869).

3466556643 is a wasteful number, since it uses less digits than its factorization.

3466556643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040186.

The product of its digits is 4665600, while the sum is 48.

The square root of 3466556643 is about 58877.4714385732. The cubic root of 3466556643 is about 1513.4431090787.

The spelling of 3466556643 in words is "three billion, four hundred sixty-six million, five hundred fifty-six thousand, six hundred forty-three".