3727440 has 120 divisors (see below), whose sum is σ = 12999168. Its totient is φ = 956160.

The previous prime is 3727397. The next prime is 3727441. The reversal of 3727440 is 447273.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3727441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22237 + ... + 22403.

Almost surely, 2^3727440 is an apocalyptic number.

3727440 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 3727440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584).

3727440 is an abundant number, since it is smaller than the sum of its proper divisors (9271728).

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

3727440 is a wasteful number, since it uses less digits than its factorization.

3727440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

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

The square root of 3727440 is about 1930.6579189489. The cubic root of 3727440 is about 155.0494465899.

The spelling of 3727440 in words is "three million, seven hundred twenty-seven thousand, four hundred forty".