3942828672384 has 256 divisors, whose sum is σ = 12102312337920. Its totient is φ = 1114022412288.

The previous prime is 3942828672259. The next prime is 3942828672401. The reversal of 3942828672384 is 4832768282493.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372064974 + ... + 372075570.

It is an arithmetic number, because the mean of its divisors is an integer number (47274657570).

Almost surely, 2^{3942828672384} 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 3942828672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6051156168960).

3942828672384 is an abundant number, since it is smaller than the sum of its proper divisors (8159483665536).

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

3942828672384 is a wasteful number, since it uses less digits than its factorization.

3942828672384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12145 (or 12133 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 66.

The spelling of 3942828672384 in words is "three trillion, nine hundred forty-two billion, eight hundred twenty-eight million, six hundred seventy-two thousand, three hundred eighty-four".