3948311896716 has 192 divisors, whose sum is σ = 10394831462400. Its totient is φ = 1156345632000.

The previous prime is 3948311896673. The next prime is 3948311896723. The reversal of 3948311896716 is 6176981138493.

3948311896716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3948311896716³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94321191 + ... + 94363041.

It is an arithmetic number, because the mean of its divisors is an integer number (54139747200).

Almost surely, 2^{3948311896716} 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 3948311896716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197415731200).

3948311896716 is an abundant number, since it is smaller than the sum of its proper divisors (6446519565684).

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

3948311896716 is a wasteful number, since it uses less digits than its factorization.

3948311896716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42140 (or 42138 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 66.

The spelling of 3948311896716 in words is "three trillion, nine hundred forty-eight billion, three hundred eleven million, eight hundred ninety-six thousand, seven hundred sixteen".