3828883864120 has 512 divisors, whose sum is σ = 10502037504000. Its totient is φ = 1229291458560.

The previous prime is 3828883864111. The next prime is 3828883864133. The reversal of 3828883864120 is 214683888283.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6307880857 + ... + 6307881463.

It is an arithmetic number, because the mean of its divisors is an integer number (20511792000).

Almost surely, 2^{3828883864120} 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 3828883864120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251018752000).

3828883864120 is an abundant number, since it is smaller than the sum of its proper divisors (6673153639880).

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

3828883864120 is a wasteful number, since it uses less digits than its factorization.

3828883864120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 61.

The spelling of 3828883864120 in words is "three trillion, eight hundred twenty-eight billion, eight hundred eighty-three million, eight hundred sixty-four thousand, one hundred twenty".