3774240 has 72 divisors (see below), whose sum is σ = 12884508. Its totient is φ = 1006080.

The previous prime is 3774233. The next prime is 3774257. The reversal of 3774240 is 424773.

It can be written as a sum of positive squares in 2 ways, for example, as 3732624 + 41616 = 1932^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130 + ... + 2750.

Almost surely, 2^3774240 is an apocalyptic number.

3774240 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 3774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442254).

3774240 is an abundant number, since it is smaller than the sum of its proper divisors (9110268).

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

3774240 is a wasteful number, since it uses less digits than its factorization.

3774240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 3774240 is about 1942.7403326230. The cubic root of 3774240 is about 155.6956591120.

The spelling of 3774240 in words is "three million, seven hundred seventy-four thousand, two hundred forty".