3728808 has 64 divisors (see below), whose sum is σ = 10564800. Its totient is φ = 1218240.

The previous prime is 3728789. The next prime is 3728821. The reversal of 3728808 is 8088273.

3728808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 13035 + ... + 13317.

It is an arithmetic number, because the mean of its divisors is an integer number (165075).

Almost surely, 2^3728808 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 3728808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282400).

3728808 is an abundant number, since it is smaller than the sum of its proper divisors (6835992).

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

3728808 is a wasteful number, since it uses less digits than its factorization.

3728808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3728808 is about 1931.0121698218. The cubic root of 3728808 is about 155.0684123949.

It can be divided in two parts, 372 and 8808, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 3728808 in words is "three million, seven hundred twenty-eight thousand, eight hundred eight".