3743760 has 80 divisors (see below), whose sum is σ = 12231360. Its totient is φ = 944640.

The previous prime is 3743749. The next prime is 3743797. The reversal of 3743760 is 673473.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 4150 + ... + 4970.

It is an arithmetic number, because the mean of its divisors is an integer number (152892).

Almost surely, 2^3743760 is an apocalyptic number.

3743760 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 3743760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115680).

3743760 is an abundant number, since it is smaller than the sum of its proper divisors (8487600).

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

3743760 is a wasteful number, since it uses less digits than its factorization.

3743760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 850 counting only the distinct ones).

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

The square root of 3743760 is about 1934.8798412305. The cubic root of 3743760 is about 155.2754035408.

The spelling of 3743760 in words is "three million, seven hundred forty-three thousand, seven hundred sixty".