3756320 has 48 divisors (see below), whose sum is σ = 9403128. Its totient is φ = 1413120.

The previous prime is 3756317. The next prime is 3756323. The reversal of 3756320 is 236573.

It is an interprime number because it is at equal distance from previous prime (3756317) and next prime (3756323).

It can be written as a sum of positive squares in 4 ways, for example, as 3341584 + 414736 = 1828^2 + 644^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3756320.

It is not an unprimeable number, because it can be changed into a prime (3756323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2030 + ... + 3410.

Almost surely, 2^3756320 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 3756320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701564).

3756320 is an abundant number, since it is smaller than the sum of its proper divisors (5646808).

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

3756320 is a wasteful number, since it uses less digits than its factorization.

3756320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 3756320 is about 1938.1228031268. The cubic root of 3756320 is about 155.4488550209.

The spelling of 3756320 in words is "three million, seven hundred fifty-six thousand, three hundred twenty".