3382585600 has 81 divisors (see below), whose sum is σ = 8383960137. Its totient is φ = 1351173120.

The previous prime is 3382585573. The next prime is 3382585601. The reversal of 3382585600 is 65852833.

It is a happy number.

The square root of 3382585600 is 58160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1217730816 + 2164854784 = 34896^2 + 46528^2 .

It is a super-2 number, since 2×3382585600² = 22883770682654720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3382585601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4652437 + ... + 4653163.

Almost surely, 2^3382585600 is an apocalyptic number.

3382585600 is the 58160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3382585600

3382585600 is an abundant number, since it is smaller than the sum of its proper divisors (5001374537).

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

3382585600 is an frugal number, since it uses more digits than its factorization.

3382585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The cubic root of 3382585600 is about 1501.1229517025.

The spelling of 3382585600 in words is "three billion, three hundred eighty-two million, five hundred eighty-five thousand, six hundred".