3642760 has 64 divisors (see below), whose sum is σ = 9486720. Its totient is φ = 1244160.

The previous prime is 3642739. The next prime is 3642791. The reversal of 3642760 is 672463.

3642760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7237 + ... + 7723.

It is an arithmetic number, because the mean of its divisors is an integer number (148230).

Almost surely, 2^3642760 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 3642760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743360).

3642760 is an abundant number, since it is smaller than the sum of its proper divisors (5843960).

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

3642760 is a wasteful number, since it uses less digits than its factorization.

3642760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 3642760 is about 1908.6015823110. The cubic root of 3642760 is about 153.8663032583.

The spelling of 3642760 in words is "three million, six hundred forty-two thousand, seven hundred sixty".