3728000 has 64 divisors (see below), whose sum is σ = 9308520. Its totient is φ = 1484800.

The previous prime is 3727991. The next prime is 3728017. The reversal of 3728000 is 8273.

3728000 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 602176 + 3125824 = 776^2 + 1768^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15884 + ... + 16116.

Almost surely, 2^3728000 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 3728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654260).

3728000 is an abundant number, since it is smaller than the sum of its proper divisors (5580520).

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

3728000 is an equidigital number, since it uses as much as digits as its factorization.

3728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 3728000 is about 1930.8029417835. The cubic root of 3728000 is about 155.0572109306.

The spelling of 3728000 in words is "three million, seven hundred twenty-eight thousand".