3728900 has 54 divisors (see below), whose sum is σ = 9425178. Its totient is φ = 1276800.

The previous prime is 3728891. The next prime is 3728911. The reversal of 3728900 is 98273.

It can be written as a sum of positive squares in 3 ways, for example, as 50176 + 3678724 = 224^2 + 1918^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4520 + ... + 5280.

Almost surely, 2^3728900 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 3728900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712589).

3728900 is an abundant number, since it is smaller than the sum of its proper divisors (5696278).

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

3728900 is a wasteful number, since it uses less digits than its factorization.

3728900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 3728900 is about 1931.0359913787. The cubic root of 3728900 is about 155.0696877065.

The spelling of 3728900 in words is "three million, seven hundred twenty-eight thousand, nine hundred".