3728880 has 60 divisors (see below), whose sum is σ = 12525240. Its totient is φ = 994176.

The previous prime is 3728873. The next prime is 3728891. The reversal of 3728880 is 888273.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1870 + ... + 3309.

It is an arithmetic number, because the mean of its divisors is an integer number (208754).

Almost surely, 2^3728880 is an apocalyptic number.

3728880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3728880 is an abundant number, since it is smaller than the sum of its proper divisors (8796360).

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

3728880 is a wasteful number, since it uses less digits than its factorization.

3728880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198 (or 5189 counting only the distinct ones).

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

The square root of 3728880 is about 1931.0308128044. The cubic root of 3728880 is about 155.0694104666.

The spelling of 3728880 in words is "three million, seven hundred twenty-eight thousand, eight hundred eighty".