3642080 has 96 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 1253376.

The previous prime is 3642061. The next prime is 3642101. The reversal of 3642080 is 802463.

It is a happy number.

3642080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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, 35309 + ... + 35411.

It is an arithmetic number, because the mean of its divisors is an integer number (103194).

Almost surely, 2^3642080 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 3642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

3642080 is an abundant number, since it is smaller than the sum of its proper divisors (6264544).

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

3642080 is a wasteful number, since it uses less digits than its factorization.

3642080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3642080 is about 1908.4234330986. The cubic root of 3642080 is about 153.8567285039.

The spelling of 3642080 in words is "three million, six hundred forty-two thousand, eighty".