3837681 has 9 divisors (see below), whose sum is σ = 5551819. Its totient is φ = 2554536.

The previous prime is 3837661. The next prime is 3837689. The reversal of 3837681 is 1867383.

The square root of 3837681 is 1959.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 893025 + 2944656 = 945^2 + 1716^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 3837681 - 2⁷ = 3837553 is a prime.

It is a super-2 number, since 2×3837681² = 29455590915522, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3837689) 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 8 ways as a sum of consecutive naturals, for example, 5551 + ... + 6203.

Almost surely, 2^3837681 is an apocalyptic number.

3837681 is the 1959-th square number.

3837681 is the 980-th centered octagonal number.

It is an amenable number.

3837681 is a deficient number, since it is larger than the sum of its proper divisors (1714138).

3837681 is an frugal number, since it uses more digits than its factorization.

3837681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 656 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The cubic root of 3837681 is about 156.5631764585.

Multiplying 3837681 by its sum of digits (36), we get a square (138156516 = 11754²).

The spelling of 3837681 in words is "three million, eight hundred thirty-seven thousand, six hundred eighty-one".