3638320 has 80 divisors (see below), whose sum is σ = 9910080. Its totient is φ = 1216512.

The previous prime is 3638303. The next prime is 3638333. The reversal of 3638320 is 238363.

3638320 = T₇₁ + T₇₂ + ... + T₂₈₀.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40836 + ... + 40924.

It is an arithmetic number, because the mean of its divisors is an integer number (123876).

Almost surely, 2^3638320 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 3638320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955040).

3638320 is an abundant number, since it is smaller than the sum of its proper divisors (6271760).

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

3638320 is a wasteful number, since it uses less digits than its factorization.

3638320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 3638320 is about 1907.4380723892. The cubic root of 3638320 is about 153.8037642188.

The spelling of 3638320 in words is "three million, six hundred thirty-eight thousand, three hundred twenty".