3972167892 has 288 divisors, whose sum is σ = 13435269120. Its totient is φ = 958314240.

The previous prime is 3972167879. The next prime is 3972167897. The reversal of 3972167892 is 2987612793.

3972167892 is a `hidden beast` number, since 397 + 2 + 167 + 8 + 92 = 666.

3972167892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972167897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2790693 + ... + 2792115.

It is an arithmetic number, because the mean of its divisors is an integer number (46650240).

Almost surely, 2^3972167892 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 3972167892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6717634560).

3972167892 is an abundant number, since it is smaller than the sum of its proper divisors (9463101228).

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

3972167892 is a wasteful number, since it uses less digits than its factorization.

3972167892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1518 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 3972167892 is about 63025.1369851744. The cubic root of 3972167892 is about 1583.7107531616.

The spelling of 3972167892 in words is "three billion, nine hundred seventy-two million, one hundred sixty-seven thousand, eight hundred ninety-two".