3829107330048 has 528 divisors, whose sum is σ = 13947893535744. Its totient is φ = 918062530560.

The previous prime is 3829107330019. The next prime is 3829107330073. The reversal of 3829107330048 is 8400337019283.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3829107329979 and 3829107330006.

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, 21436561 + ... + 21614447.

Almost surely, 2^{3829107330048} 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 3829107330048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973946767872).

3829107330048 is an abundant number, since it is smaller than the sum of its proper divisors (10118786205696).

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

3829107330048 is a wasteful number, since it uses less digits than its factorization.

3829107330048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177948 (or 177923 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 3829107330048 in words is "three trillion, eight hundred twenty-nine billion, one hundred seven million, three hundred thirty thousand, forty-eight".