3725280 has 144 divisors (see below), whose sum is σ = 13759200. Its totient is φ = 912384.

The previous prime is 3725279. The next prime is 3725303. The reversal of 3725280 is 825273.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3725280² = 27755422156800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18621 + ... + 18819.

It is an arithmetic number, because the mean of its divisors is an integer number (95550).

Almost surely, 2^3725280 is an apocalyptic number.

3725280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3725280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879600).

3725280 is an abundant number, since it is smaller than the sum of its proper divisors (10033920).

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

3725280 is a wasteful number, since it uses less digits than its factorization.

3725280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3725280 is about 1930.0984430852. The cubic root of 3725280 is about 155.0194911320.

It can be divided in two parts, 3725 and 280, that added together give a triangular number (4005 = T₈₉).

The spelling of 3725280 in words is "three million, seven hundred twenty-five thousand, two hundred eighty".