3760960 has 112 divisors (see below), whose sum is σ = 10826496. Its totient is φ = 1216512.

The previous prime is 3760921. The next prime is 3760973. The reversal of 3760960 is 690673.

3760960 = 190² + 191² + ... + 262².

It is a tau number, because it is divible by the number of its divisors (112).

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, 51484 + ... + 51556.

Almost surely, 2^3760960 is an apocalyptic number.

3760960 is the 1120-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413248).

3760960 is an abundant number, since it is smaller than the sum of its proper divisors (7065536).

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

3760960 is a wasteful number, since it uses less digits than its factorization.

3760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 3760960 is about 1939.3194682672. The cubic root of 3760960 is about 155.5128348294.

The spelling of 3760960 in words is "three million, seven hundred sixty thousand, nine hundred sixty".