3765840 has 160 divisors (see below), whose sum is σ = 13499136. Its totient is φ = 860160.

The previous prime is 3765833. The next prime is 3765871. The reversal of 3765840 is 485673.

3765840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 53005 + ... + 53075.

Almost surely, 2^3765840 is an apocalyptic number.

3765840 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 3765840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749568).

3765840 is an abundant number, since it is smaller than the sum of its proper divisors (9733296).

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

3765840 is a wasteful number, since it uses less digits than its factorization.

3765840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3765840 is about 1940.5772337117. The cubic root of 3765840 is about 155.5800671880.

It can be divided in two parts, 376 and 5840, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 3765840 in words is "three million, seven hundred sixty-five thousand, eight hundred forty".