3756240 has 160 divisors (see below), whose sum is σ = 13570560. Its totient is φ = 953856.

The previous prime is 3756229. The next prime is 3756241. The reversal of 3756240 is 426573.

It is a happy number.

3756240 is a `hidden beast` number, since 37 + 5 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3756241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79897 + ... + 79943.

It is an arithmetic number, because the mean of its divisors is an integer number (84816).

Almost surely, 2^3756240 is an apocalyptic number.

3756240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3756240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785280).

3756240 is an abundant number, since it is smaller than the sum of its proper divisors (9814320).

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

3756240 is a wasteful number, since it uses less digits than its factorization.

3756240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3756240 is about 1938.1021644898. The cubic root of 3756240 is about 155.4477514589.

The spelling of 3756240 in words is "three million, seven hundred fifty-six thousand, two hundred forty".