3765540 has 48 divisors (see below), whose sum is σ = 10668672. Its totient is φ = 992256.

The previous prime is 3765533. The next prime is 3765547. The reversal of 3765540 is 455673.

3765540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3765533) and next prime (3765547).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3765498 and 3765507.

It is not an unprimeable number, because it can be changed into a prime (3765547) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5497 + ... + 6143.

It is an arithmetic number, because the mean of its divisors is an integer number (222264).

Almost surely, 2^3765540 is an apocalyptic number.

3765540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 1940×1941.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3765540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334336).

3765540 is an abundant number, since it is smaller than the sum of its proper divisors (6903132).

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

3765540 is a wasteful number, since it uses less digits than its factorization.

3765540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 3765540 is about 1940.4999355836. The cubic root of 3765540 is about 155.5759357273.

The spelling of 3765540 in words is "three million, seven hundred sixty-five thousand, five hundred forty".