3428877312 has 264 divisors, whose sum is σ = 11817249120. Its totient is φ = 979292160.

The previous prime is 3428877301. The next prime is 3428877341. The reversal of 3428877312 is 2137788243.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1353487 + ... + 1356017.

Almost surely, 2^3428877312 is an apocalyptic number.

3428877312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428877312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908624560).

3428877312 is an abundant number, since it is smaller than the sum of its proper divisors (8388371808).

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

3428877312 is a wasteful number, since it uses less digits than its factorization.

3428877312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2543 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 3428877312 is about 58556.6162956843. The cubic root of 3428877312 is about 1507.9397237081.

The spelling of 3428877312 in words is "three billion, four hundred twenty-eight million, eight hundred seventy-seven thousand, three hundred twelve".