3456112128 has 160 divisors (see below), whose sum is σ = 10863114240. Its totient is φ = 955514880.

The previous prime is 3456112081. The next prime is 3456112129. The reversal of 3456112128 is 8212116543.

It is a super-2 number, since 2×3456112128² = 23889422082617376768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456112129) 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, 328128 + ... + 338496.

It is an arithmetic number, because the mean of its divisors is an integer number (67894464).

Almost surely, 2^3456112128 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 3456112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5431557120).

3456112128 is an abundant number, since it is smaller than the sum of its proper divisors (7407002112).

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

3456112128 is a wasteful number, since it uses less digits than its factorization.

3456112128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10428 (or 10412 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 3456112128 is about 58788.7074870676. The cubic root of 3456112128 is about 1511.9216106724.

The spelling of 3456112128 in words is "three billion, four hundred fifty-six million, one hundred twelve thousand, one hundred twenty-eight".