3629920 has 72 divisors (see below), whose sum is σ = 9997344. Its totient is φ = 1241856.

The previous prime is 3629909. The next prime is 3629921. The reversal of 3629920 is 299263.

3629920 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 not an unprimeable number, because it can be changed into a prime (3629921) 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 11 ways as a sum of consecutive naturals, for example, 7609 + ... + 8071.

It is an arithmetic number, because the mean of its divisors is an integer number (138852).

Almost surely, 2^3629920 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 3629920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998672).

3629920 is an abundant number, since it is smaller than the sum of its proper divisors (6367424).

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

3629920 is a wasteful number, since it uses less digits than its factorization.

3629920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 3629920 is about 1905.2348936548. The cubic root of 3629920 is about 153.6853077916.

The spelling of 3629920 in words is "three million, six hundred twenty-nine thousand, nine hundred twenty".