3922128 has 80 divisors (see below), whose sum is σ = 12876160. Its totient is φ = 1119744.

The previous prime is 3922123. The next prime is 3922153. The reversal of 3922128 is 8212293.

It is a happy number.

3922128 is digitally balanced in base 8, because in such base 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 (27).

It is a nude number because it is divisible by every one of its digits.

3922128 is strictly pandigital in base 8.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3922123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2376 + ... + 3672.

It is an arithmetic number, because the mean of its divisors is an integer number (160952).

Almost surely, 2^3922128 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 3922128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6438080).

3922128 is an abundant number, since it is smaller than the sum of its proper divisors (8954032).

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

3922128 is a wasteful number, since it uses less digits than its factorization.

3922128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1309 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 3922128 is about 1980.4363155628. The cubic root of 3922128 is about 157.7032297138.

Subtracting from 3922128 its product of digits (1728), we obtain a square (3920400 = 1980²).

The spelling of 3922128 in words is "three million, nine hundred twenty-two thousand, one hundred twenty-eight".