3892872 has 32 divisors (see below), whose sum is σ = 10245600. Its totient is φ = 1229184.

The previous prime is 3892849. The next prime is 3892877. The reversal of 3892872 is 2782983.

3892872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3892872.

It is not an unprimeable number, because it can be changed into a prime (3892877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3813 + ... + 4724.

It is an arithmetic number, because the mean of its divisors is an integer number (320175).

Almost surely, 2^3892872 is an apocalyptic number.

It is an amenable number.

3892872 is an abundant number, since it is smaller than the sum of its proper divisors (6352728).

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

3892872 is a wasteful number, since it uses less digits than its factorization.

3892872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8565 (or 8561 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 3892872 is about 1973.0362388968. The cubic root of 3892872 is about 157.3101365463.

The spelling of 3892872 in words is "three million, eight hundred ninety-two thousand, eight hundred seventy-two".