3623840 has 96 divisors (see below), whose sum is σ = 9797760. Its totient is φ = 1254400.

The previous prime is 3623821. The next prime is 3623861. The reversal of 3623840 is 483263.

3623840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam 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, 51005 + ... + 51075.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

Almost surely, 2^3623840 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 3623840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898880).

3623840 is an abundant number, since it is smaller than the sum of its proper divisors (6173920).

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

3623840 is a wasteful number, since it uses less digits than its factorization.

3623840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 3623840 is about 1903.6386211674. The cubic root of 3623840 is about 153.5994538464.

The spelling of 3623840 in words is "three million, six hundred twenty-three thousand, eight hundred forty".