3802128 has 80 divisors (see below), whose sum is σ = 11308800. Its totient is φ = 1088640.

The previous prime is 3802093. The next prime is 3802129. The reversal of 3802128 is 8212083.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3802098 and 3802107.

It is not an unprimeable number, because it can be changed into a prime (3802129) 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, 9843 + ... + 10221.

It is an arithmetic number, because the mean of its divisors is an integer number (141360).

Almost surely, 2^3802128 is an apocalyptic number.

3802128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3802128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654400).

3802128 is an abundant number, since it is smaller than the sum of its proper divisors (7506672).

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

3802128 is a wasteful number, since it uses less digits than its factorization.

3802128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3802128 is about 1949.9046130516. The cubic root of 3802128 is about 156.0781987957.

The spelling of 3802128 in words is "three million, eight hundred two thousand, one hundred twenty-eight".