3829564992 has 112 divisors (see below), whose sum is σ = 11077846272. Its totient is φ = 1157921280.

The previous prime is 3829564987. The next prime is 3829565011. The reversal of 3829564992 is 2994659283.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1102843 + ... + 1106309.

Almost surely, 2^3829564992 is an apocalyptic number.

3829564992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3829564992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538923136).

3829564992 is an abundant number, since it is smaller than the sum of its proper divisors (7248281280).

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

3829564992 is a wasteful number, since it uses less digits than its factorization.

3829564992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 4006 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 57.

The square root of 3829564992 is about 61883.4791523554. The cubic root of 3829564992 is about 1564.5273087158.

The spelling of 3829564992 in words is "three billion, eight hundred twenty-nine million, five hundred sixty-four thousand, nine hundred ninety-two".