3642084 has 42 divisors (see below), whose sum is σ = 9563750. Its totient is φ = 1213056.

The previous prime is 3642061. The next prime is 3642101. The reversal of 3642084 is 4802463.

It can be written as a sum of positive squares in only one way, i.e., 2985984 + 656100 = 1728^2 + 810^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2292 + ... + 3540.

Almost surely, 2^3642084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781875).

3642084 is an abundant number, since it is smaller than the sum of its proper divisors (5921666).

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

3642084 is a wasteful number, since it uses less digits than its factorization.

3642084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3642084 is about 1908.4244810838. The cubic root of 3642084 is about 153.8567848295.

The spelling of 3642084 in words is "three million, six hundred forty-two thousand, eighty-four".