3829008825 has 72 divisors (see below), whose sum is σ = 7099325376. Its totient is φ = 1971216000.

The previous prime is 3829008817. The next prime is 3829008851. The reversal of 3829008825 is 5288009283.

It is not a de Polignac number, because 3829008825 - 2³ = 3829008817 is a prime.

It is a super-2 number, since 2×3829008825² = 29322617163855761250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1088820 + ... + 1092330.

Almost surely, 2^3829008825 is an apocalyptic number.

It is an amenable number.

3829008825 is a deficient number, since it is larger than the sum of its proper divisors (3270316551).

3829008825 is a wasteful number, since it uses less digits than its factorization.

3829008825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 3829008825 is about 61878.9853261994. The cubic root of 3829008825 is about 1564.4515663806.

The spelling of 3829008825 in words is "three billion, eight hundred twenty-nine million, eight thousand, eight hundred twenty-five".