3747840 has 104 divisors (see below), whose sum is σ = 12188208. Its totient is φ = 983040.

The previous prime is 3747833. The next prime is 3747847. The reversal of 3747840 is 487473.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3747833) and next prime (3747847).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3747847) 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, 61410 + ... + 61470.

Almost surely, 2^3747840 is an apocalyptic number.

3747840 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 3747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094104).

3747840 is an abundant number, since it is smaller than the sum of its proper divisors (8440368).

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

3747840 is an equidigital number, since it uses as much as digits as its factorization.

3747840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 3747840 is about 1935.9338831685. The cubic root of 3747840 is about 155.3317901366.

The spelling of 3747840 in words is "three million, seven hundred forty-seven thousand, eight hundred forty".