3283667320 has 64 divisors (see below), whose sum is σ = 7518297600. Its totient is φ = 1290453120.

The previous prime is 3283667297. The next prime is 3283667323. The reversal of 3283667320 is 237663823.

3283667320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283667323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1175125 + ... + 1177915.

It is an arithmetic number, because the mean of its divisors is an integer number (117473400).

Almost surely, 2^3283667320 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 3283667320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759148800).

3283667320 is an abundant number, since it is smaller than the sum of its proper divisors (4234630280).

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

3283667320 is a wasteful number, since it uses less digits than its factorization.

3283667320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The square root of 3283667320 is about 57303.2924010480. The cubic root of 3283667320 is about 1486.3453093828.

The spelling of 3283667320 in words is "three billion, two hundred eighty-three million, six hundred sixty-seven thousand, three hundred twenty".