3682735 has 16 divisors (see below), whose sum is σ = 5170176. Its totient is φ = 2465568.

The previous prime is 3682733. The next prime is 3682759. The reversal of 3682735 is 5372863.

It is not a de Polignac number, because 3682735 - 2¹ = 3682733 is a prime.

It is a Duffinian number.

3682735 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3682735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282 + ... + 2728.

It is an arithmetic number, because the mean of its divisors is an integer number (323136).

Almost surely, 2^3682735 is an apocalyptic number.

3682735 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3682735 is a deficient number, since it is larger than the sum of its proper divisors (1487441).

3682735 is a wasteful number, since it uses less digits than its factorization.

3682735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502.

The product of its digits is 30240, while the sum is 34.

The square root of 3682735 is about 1919.0453355770. The cubic root of 3682735 is about 154.4270907166.

The spelling of 3682735 in words is "three million, six hundred eighty-two thousand, seven hundred thirty-five".