3966344848 has 160 divisors (see below), whose sum is σ = 9027993600. Its totient is φ = 1676505600.

The previous prime is 3966344831. The next prime is 3966344887. The reversal of 3966344848 is 8484436693.

3966344848 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-2 number, since 2×3966344848² = 31463782906512286208, which contains 22 as substring.

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, 6285493 + ... + 6286123.

It is an arithmetic number, because the mean of its divisors is an integer number (56424960).

Almost surely, 2^3966344848 is an apocalyptic number.

3966344848 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3966344848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513996800).

3966344848 is an abundant number, since it is smaller than the sum of its proper divisors (5061648752).

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

3966344848 is a wasteful number, since it uses less digits than its factorization.

3966344848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 55.

The square root of 3966344848 is about 62978.9238396465. The cubic root of 3966344848 is about 1582.9364885202.

The spelling of 3966344848 in words is "three billion, nine hundred sixty-six million, three hundred forty-four thousand, eight hundred forty-eight".