3755880 has 48 divisors (see below), whose sum is σ = 12207780. Its totient is φ = 1001472.

The previous prime is 3755879. The next prime is 3755891. The reversal of 3755880 is 885573.

It is a happy number.

3755880 is a `hidden beast` number, since 3 + 75 + 588 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3755844 + 36 = 1938^2 + 6^2 .

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

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, 4857 + ... + 5576.

Almost surely, 2^3755880 is an apocalyptic number.

3755880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3755880 is an abundant number, since it is smaller than the sum of its proper divisors (8451900).

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

3755880 is a wasteful number, since it uses less digits than its factorization.

3755880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10450 (or 10443 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 3755880 is about 1938.0092879034. The cubic root of 3755880 is about 155.4427852357.

Subtracting from 3755880 its sum of digits (36), we obtain a square (3755844 = 1938²).

The spelling of 3755880 in words is "three million, seven hundred fifty-five thousand, eight hundred eighty".