3968276184 has 120 divisors (see below), whose sum is σ = 11395680780. Its totient is φ = 1290142080.

The previous prime is 3968276177. The next prime is 3968276203. The reversal of 3968276184 is 4816728693.

3968276184 is a `hidden beast` number, since 396 + 8 + 2 + 76 + 184 = 666.

3968276184 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3968276184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1087467 + ... + 1091109.

Almost surely, 2^3968276184 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 3968276184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697840390).

3968276184 is an abundant number, since it is smaller than the sum of its proper divisors (7427404596).

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

3968276184 is a wasteful number, since it uses less digits than its factorization.

3968276184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3689 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 3968276184 is about 62994.2551666420. The cubic root of 3968276184 is about 1583.1933737437.

The spelling of 3968276184 in words is "three billion, nine hundred sixty-eight million, two hundred seventy-six thousand, one hundred eighty-four".