3785760 has 144 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 913920.

The previous prime is 3785753. The next prime is 3785779. The reversal of 3785760 is 675873.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15721 + ... + 15959.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 2^3785760 is an apocalyptic number.

3785760 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 3785760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

3785760 is an abundant number, since it is smaller than the sum of its proper divisors (10366560).

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

3785760 is a wasteful number, since it uses less digits than its factorization.

3785760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3785760 is about 1945.7029578021. The cubic root of 3785760 is about 155.8539066193.

The spelling of 3785760 in words is "three million, seven hundred eighty-five thousand, seven hundred sixty".