3829002928128 has 912 divisors, whose sum is σ = 13581734426624. Its totient is φ = 1054888427520.

The previous prime is 3829002928111. The next prime is 3829002928133. The reversal of 3829002928128 is 8218292009283.

3829002928128 is a `hidden beast` number, since 38 + 290 + 0 + 29 + 281 + 28 = 666.

It is a super-2 number, since 2×3829002928128² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13823115126 + ... + 13823115402.

Almost surely, 2^{3829002928128} 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 3829002928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6790867213312).

3829002928128 is an abundant number, since it is smaller than the sum of its proper divisors (9752731498496).

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

3829002928128 is an frugal number, since it uses more digits than its factorization.

3829002928128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 3829002928128 in words is "three trillion, eight hundred twenty-nine billion, two million, nine hundred twenty-eight thousand, one hundred twenty-eight".