3728940 has 48 divisors (see below), whose sum is σ = 10993920. Its totient is φ = 941760.

The previous prime is 3728939. The next prime is 3728947. The reversal of 3728940 is 498273.

3728940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3728947) 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 15 ways as a sum of consecutive naturals, for example, 496 + ... + 2775.

It is an arithmetic number, because the mean of its divisors is an integer number (229040).

Almost surely, 2^3728940 is an apocalyptic number.

3728940 is a gapful number since it is divisible by the number (30) 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 3728940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496960).

3728940 is an abundant number, since it is smaller than the sum of its proper divisors (7264980).

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

3728940 is a wasteful number, since it uses less digits than its factorization.

3728940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3728940 is about 1931.0463484857. The cubic root of 3728940 is about 155.0702421833.

The spelling of 3728940 in words is "three million, seven hundred twenty-eight thousand, nine hundred forty".