3728120 has 64 divisors (see below), whose sum is σ = 9439200. Its totient is φ = 1313280.

The previous prime is 3728113. The next prime is 3728141. The reversal of 3728120 is 218273.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16166 + ... + 16394.

Almost surely, 2^3728120 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 3728120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719600).

3728120 is an abundant number, since it is smaller than the sum of its proper divisors (5711080).

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

3728120 is a wasteful number, since it uses less digits than its factorization.

3728120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 3728120 is about 1930.8340166881. The cubic root of 3728120 is about 155.0588746168.

The spelling of 3728120 in words is "three million, seven hundred twenty-eight thousand, one hundred twenty".