3965760 has 196 divisors, whose sum is σ = 14991588. Its totient is φ = 995328.

The previous prime is 3965723. The next prime is 3965783. The reversal of 3965760 is 675693.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2286144 + 1679616 = 1512^2 + 1296^2 .

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

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 233272 + ... + 233288.

Almost surely, 2^3965760 is an apocalyptic number.

3965760 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 3965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7495794).

3965760 is an abundant number, since it is smaller than the sum of its proper divisors (11025828).

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

3965760 is an equidigital number, since it uses as much as digits as its factorization.

3965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3965760 is about 1991.4216027753. The cubic root of 3965760 is about 158.2858681977.

The spelling of 3965760 in words is "three million, nine hundred sixty-five thousand, seven hundred sixty".