3948791879704 has 128 divisors (see below), whose sum is σ = 8725892572800. Its totient is φ = 1640543846400.

The previous prime is 3948791879701. The next prime is 3948791879713. The reversal of 3948791879704 is 4079781978493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948791879701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56530752 + ... + 56600560.

It is an arithmetic number, because the mean of its divisors is an integer number (68171035725).

Almost surely, 2^{3948791879704} 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 3948791879704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362946286400).

3948791879704 is an abundant number, since it is smaller than the sum of its proper divisors (4777100693096).

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

3948791879704 is a wasteful number, since it uses less digits than its factorization.

3948791879704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70133 (or 70129 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 76.

The spelling of 3948791879704 in words is "three trillion, nine hundred forty-eight billion, seven hundred ninety-one million, eight hundred seventy-nine thousand, seven hundred four".