3429232128 has 240 divisors, whose sum is σ = 11591195616. Its totient is φ = 955514880.

The previous prime is 3429232109. The next prime is 3429232133. The reversal of 3429232128 is 8212329243.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3429232092 and 3429232101.

It is a congruent number.

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, 1321200 + ... + 1323792.

Almost surely, 2^3429232128 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 3429232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795597808).

3429232128 is an abundant number, since it is smaller than the sum of its proper divisors (8161963488).

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

3429232128 is a wasteful number, since it uses less digits than its factorization.

3429232128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2646 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3429232128 is about 58559.6459005688. The cubic root of 3429232128 is about 1507.9917351624.

Adding to 3429232128 its product of digits (41472), we get a square (3429273600 = 58560²).

The spelling of 3429232128 in words is "three billion, four hundred twenty-nine million, two hundred thirty-two thousand, one hundred twenty-eight".