3747360 has 96 divisors (see below), whose sum is σ = 12180672. Its totient is φ = 967680.

The previous prime is 3747349. The next prime is 3747371. The reversal of 3747360 is 637473.

It is an interprime number because it is at equal distance from previous prime (3747349) and next prime (3747371).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17655 + ... + 17865.

It is an arithmetic number, because the mean of its divisors is an integer number (126882).

Almost surely, 2^3747360 is an apocalyptic number.

3747360 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 3747360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090336).

3747360 is an abundant number, since it is smaller than the sum of its proper divisors (8433312).

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

3747360 is a wasteful number, since it uses less digits than its factorization.

3747360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 3747360 is about 1935.8099080230. The cubic root of 3747360 is about 155.3251585441.

The spelling of 3747360 in words is "three million, seven hundred forty-seven thousand, three hundred sixty".