3967206768 has 160 divisors (see below), whose sum is σ = 13779832320. Its totient is φ = 1066798080.

The previous prime is 3967206701. The next prime is 3967206779. The reversal of 3967206768 is 8676027693.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12823 + ... + 89993.

It is an arithmetic number, because the mean of its divisors is an integer number (86123952).

Almost surely, 2^3967206768 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 3967206768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6889916160).

3967206768 is an abundant number, since it is smaller than the sum of its proper divisors (9812625552).

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

3967206768 is a wasteful number, since it uses less digits than its factorization.

3967206768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77212 (or 77200 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3967206768 is about 62985.7663920985. The cubic root of 3967206768 is about 1583.0511420071.

The spelling of 3967206768 in words is "three billion, nine hundred sixty-seven million, two hundred six thousand, seven hundred sixty-eight".