3890128 has 60 divisors (see below), whose sum is σ = 8865504. Its totient is φ = 1636800.

The previous prime is 3890119. The next prime is 3890129. The reversal of 3890128 is 8210983.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 3890128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3890129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125473 + ... + 125503.

Almost surely, 2^3890128 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 3890128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432752).

3890128 is an abundant number, since it is smaller than the sum of its proper divisors (4975376).

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

3890128 is a wasteful number, since it uses less digits than its factorization.

3890128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 3890128 is about 1972.3407413528. The cubic root of 3890128 is about 157.2731663713.

The spelling of 3890128 in words is "three million, eight hundred ninety thousand, one hundred twenty-eight".