3781965 has 16 divisors (see below), whose sum is σ = 6601536. Its totient is φ = 1833600.

The previous prime is 3781961. The next prime is 3781993. The reversal of 3781965 is 5691873.

It is not a de Polignac number, because 3781965 - 2² = 3781961 is a prime.

It is a super-2 number, since 2×3781965² = 28606518522450, which contains 22 as substring.

3781965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3781961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11296 + ... + 11625.

It is an arithmetic number, because the mean of its divisors is an integer number (412596).

Almost surely, 2^3781965 is an apocalyptic number.

It is an amenable number.

3781965 is a deficient number, since it is larger than the sum of its proper divisors (2819571).

3781965 is a wasteful number, since it uses less digits than its factorization.

3781965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22940.

The product of its digits is 45360, while the sum is 39.

The square root of 3781965 is about 1944.7274873360. The cubic root of 3781965 is about 155.8018111068.

The spelling of 3781965 in words is "three million, seven hundred eighty-one thousand, nine hundred sixty-five".