3765520 has 60 divisors (see below), whose sum is σ = 9647820. Its totient is φ = 1365760.

The previous prime is 3765511. The next prime is 3765521. The reversal of 3765520 is 255673.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 2650384 = 1056^2 + 1628^2 .

It is not an unprimeable number, because it can be changed into a prime (3765521) 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, 9486 + ... + 9874.

It is an arithmetic number, because the mean of its divisors is an integer number (160797).

Almost surely, 2^3765520 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 3765520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823910).

3765520 is an abundant number, since it is smaller than the sum of its proper divisors (5882300).

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

3765520 is a wasteful number, since it uses less digits than its factorization.

3765520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 3765520 is about 1940.4947822656. The cubic root of 3765520 is about 155.5756602888.

It can be divided in two parts, 37655 and 20, that added together give a triangular number (37675 = T₂₇₄).

The spelling of 3765520 in words is "three million, seven hundred sixty-five thousand, five hundred twenty".