3765280 has 48 divisors (see below), whose sum is σ = 9022104. Its totient is φ = 1484800.

The previous prime is 3765271. The next prime is 3765299. The reversal of 3765280 is 825673.

It can be written as a sum of positive squares in 4 ways, for example, as 3370896 + 394384 = 1836^2 + 628^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16044 + ... + 16276.

Almost surely, 2^3765280 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 3765280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511052).

3765280 is an abundant number, since it is smaller than the sum of its proper divisors (5256824).

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

3765280 is a wasteful number, since it uses less digits than its factorization.

3765280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 3765280 is about 1940.4329413819. The cubic root of 3765280 is about 155.5723549506.

The spelling of 3765280 in words is "three million, seven hundred sixty-five thousand, two hundred eighty".