3635742 has 32 divisors (see below), whose sum is σ = 8193024. Its totient is φ = 1065600.

The previous prime is 3635729. The next prime is 3635743. The reversal of 3635742 is 2475363.

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁶ + 6⁸ + 3⁶ + 5⁹ + 7 + 4⁵ + 2⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3635743) 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, 1158 + ... + 2934.

It is an arithmetic number, because the mean of its divisors is an integer number (256032).

Almost surely, 2^3635742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3635742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096512).

3635742 is an abundant number, since it is smaller than the sum of its proper divisors (4557282).

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

3635742 is a wasteful number, since it uses less digits than its factorization.

3635742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824.

The product of its digits is 15120, while the sum is 30.

The square root of 3635742 is about 1906.7621770950. The cubic root of 3635742 is about 153.7674287863.

It can be divided in two parts, 363 and 5742, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 3635742 in words is "three million, six hundred thirty-five thousand, seven hundred forty-two".