3755840 has 84 divisors (see below), whose sum is σ = 9931908. Its totient is φ = 1351680.

The previous prime is 3755837. The next prime is 3755849. The reversal of 3755840 is 485573.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1517824 + 2238016 = 1232^2 + 1496^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3755797 and 3755806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3755849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38672 + ... + 38768.

It is an arithmetic number, because the mean of its divisors is an integer number (118237).

Almost surely, 2^3755840 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 3755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4965954).

3755840 is an abundant number, since it is smaller than the sum of its proper divisors (6176068).

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

3755840 is a wasteful number, since it uses less digits than its factorization.

3755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 3755840 is about 1937.9989680080. The cubic root of 3755840 is about 155.4422334135.

3755840 divided by its sum of digits (32) gives a triangular number (117370 = T₄₈₄).

The spelling of 3755840 in words is "three million, seven hundred fifty-five thousand, eight hundred forty".