3829226688 has 168 divisors, whose sum is σ = 12750210720. Its totient is φ = 1076060160.

The previous prime is 3829226677. The next prime is 3829226707. The reversal of 3829226688 is 8866229283.

It is a tau number, because it is divible by the number of its divisors (168).

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, 238168 + ... + 253736.

Almost surely, 2^3829226688 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 3829226688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6375105360).

3829226688 is an abundant number, since it is smaller than the sum of its proper divisors (8920984032).

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

3829226688 is a wasteful number, since it uses less digits than its factorization.

3829226688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15655 (or 15642 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 3829226688 is about 61880.7456968644. The cubic root of 3829226688 is about 1564.4812372139.

It can be divided in two parts, 38292 and 26688, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 3829226688 in words is "three billion, eight hundred twenty-nine million, two hundred twenty-six thousand, six hundred eighty-eight".