3456266582832 has 160 divisors (see below), whose sum is σ = 10549171809792. Its totient is φ = 954595418112.

The previous prime is 3456266582773. The next prime is 3456266582869. The reversal of 3456266582832 is 2382856626543.

It is a super-4 number, since 4×3456266582832⁴ (a number of 51 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168358 + ... + 2634554.

Almost surely, 2^{3456266582832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3456266582832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274585904896).

3456266582832 is an abundant number, since it is smaller than the sum of its proper divisors (7092905226960).

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

3456266582832 is a wasteful number, since it uses less digits than its factorization.

3456266582832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466355 (or 2466349 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 60.

The spelling of 3456266582832 in words is "three trillion, four hundred fifty-six billion, two hundred sixty-six million, five hundred eighty-two thousand, eight hundred thirty-two".