3978825596928 has 768 divisors, whose sum is σ = 14532689283840. Its totient is φ = 1020744695808.

The previous prime is 3978825596927. The next prime is 3978825596951. The reversal of 3978825596928 is 8296955288793.

3978825596928 is a `hidden beast` number, since 39 + 7 + 8 + 8 + 2 + 559 + 6 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (3978825596927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992966701 + ... + 992970707.

It is an arithmetic number, because the mean of its divisors is an integer number (18922772505).

Almost surely, 2^{3978825596928} 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 3978825596928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266344641920).

3978825596928 is an abundant number, since it is smaller than the sum of its proper divisors (10553863686912).

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

3978825596928 is a wasteful number, since it uses less digits than its factorization.

3978825596928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4069 counting only the distinct ones).

The product of its digits is 4702924800, while the sum is 81.

The spelling of 3978825596928 in words is "three trillion, nine hundred seventy-eight billion, eight hundred twenty-five million, five hundred ninety-six thousand, nine hundred twenty-eight".