3642704 has 40 divisors (see below), whose sum is σ = 7728672. Its totient is φ = 1653120.

The previous prime is 3642701. The next prime is 3642707. The reversal of 3642704 is 4072463.

It is a happy number.

3642704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3642701) and next prime (3642707).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17159 + ... + 17369.

Almost surely, 2^3642704 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 3642704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864336).

3642704 is an abundant number, since it is smaller than the sum of its proper divisors (4085968).

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

3642704 is a wasteful number, since it uses less digits than its factorization.

3642704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 3642704 is about 1908.5869118277. The cubic root of 3642704 is about 153.8655147942.

The spelling of 3642704 in words is "three million, six hundred forty-two thousand, seven hundred four".