3429961128 has 96 divisors (see below), whose sum is σ = 10238679360. Its totient is φ = 1028643840.

The previous prime is 3429961069. The next prime is 3429961141. The reversal of 3429961128 is 8211699243.

3429961128 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 9 + 611 + 28 = 666.

It is a nude number because it is divisible by every one 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, 54501 + ... + 99147.

It is an arithmetic number, because the mean of its divisors is an integer number (106652910).

Almost surely, 2^3429961128 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 3429961128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119339680).

3429961128 is an abundant number, since it is smaller than the sum of its proper divisors (6808718232).

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

3429961128 is a wasteful number, since it uses less digits than its factorization.

3429961128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44767 (or 44760 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 3429961128 is about 58565.8699926843. The cubic root of 3429961128 is about 1508.0985859134.

The spelling of 3429961128 in words is "three billion, four hundred twenty-nine million, nine hundred sixty-one thousand, one hundred twenty-eight".