3713760 has 72 divisors (see below), whose sum is σ = 12678120. Its totient is φ = 989952.

The previous prime is 3713753. The next prime is 3713767. The reversal of 3713760 is 673173.

It is an interprime number because it is at equal distance from previous prime (3713753) and next prime (3713767).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3713767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151 + ... + 2729.

It is an arithmetic number, because the mean of its divisors is an integer number (176085).

Almost surely, 2^3713760 is an apocalyptic number.

3713760 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 3713760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339060).

3713760 is an abundant number, since it is smaller than the sum of its proper divisors (8964360).

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

3713760 is a wasteful number, since it uses less digits than its factorization.

3713760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 3713760 is about 1927.1118286182. Note that the first 3 decimals coincide. The cubic root of 3713760 is about 154.8595328178.

The spelling of 3713760 in words is "three million, seven hundred thirteen thousand, seven hundred sixty".