3829004928000 has 3168 divisors, whose sum is σ = 17618052261888. Its totient is φ = 782106624000.

The previous prime is 3829004927959. The next prime is 3829004928029. The reversal of 3829004928000 is 8294009283.

3829004928000 is a `hidden beast` number, since 3 + 82 + 9 + 0 + 0 + 492 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×3829004928000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 72245375974 + ... + 72245376026.

Almost surely, 2^{3829004928000} is an apocalyptic number.

3829004928000 is a gapful number since it is divisible by the number (30) 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 3829004928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8809026130944).

3829004928000 is an abundant number, since it is smaller than the sum of its proper divisors (13789047333888).

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

3829004928000 is a wasteful number, since it uses less digits than its factorization.

3829004928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 3829004928000 in words is "three trillion, eight hundred twenty-nine billion, four million, nine hundred twenty-eight thousand".