3753280 has 56 divisors (see below), whose sum is σ = 9208008. Its totient is φ = 1456128.

The previous prime is 3753257. The next prime is 3753287. The reversal of 3753280 is 823573.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 3474496 = 528^2 + 1864^2 .

It is a super-2 number, since 2×3753280² = 28174221516800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3753287) 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, 11682 + ... + 11998.

Almost surely, 2^3753280 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 3753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604004).

3753280 is an abundant number, since it is smaller than the sum of its proper divisors (5454728).

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

3753280 is a wasteful number, since it uses less digits than its factorization.

3753280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 3753280 is about 1937.3383803559. The cubic root of 3753280 is about 155.4069086426.

It can be divided in two parts, 375 and 3280, that added together give a triangular number (3655 = T₈₅).

The spelling of 3753280 in words is "three million, seven hundred fifty-three thousand, two hundred eighty".