3482836128 has 72 divisors (see below), whose sum is σ = 9910057248. Its totient is φ = 1160272512.

The previous prime is 3482836079. The next prime is 3482836151. The reversal of 3482836128 is 8216382843.

3482836128 is a `hidden beast` number, since 3 + 4 + 8 + 28 + 3 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 881325 + ... + 885267.

It is an arithmetic number, because the mean of its divisors is an integer number (137639684).

Almost surely, 2^3482836128 is an apocalyptic number.

It is an amenable number.

3482836128 is an abundant number, since it is smaller than the sum of its proper divisors (6427221120).

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

3482836128 is a wasteful number, since it uses less digits than its factorization.

3482836128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7026 (or 7015 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 3482836128 is about 59015.5583554032. The cubic root of 3482836128 is about 1515.8085309434.

The spelling of 3482836128 in words is "three billion, four hundred eighty-two million, eight hundred thirty-six thousand, one hundred twenty-eight".