3308638320 has 640 divisors, whose sum is σ = 13199155200. Its totient is φ = 755453952.

The previous prime is 3308638313. The next prime is 3308638337. The reversal of 3308638320 is 238368033.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30354426 + ... + 30354534.

It is an arithmetic number, because the mean of its divisors is an integer number (20623680).

Almost surely, 2^3308638320 is an apocalyptic number.

3308638320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3308638320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599577600).

3308638320 is an abundant number, since it is smaller than the sum of its proper divisors (9890516880).

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

3308638320 is a wasteful number, since it uses less digits than its factorization.

3308638320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3308638320 is about 57520.7642508338. The cubic root of 3308638320 is about 1490.1034896513.

The spelling of 3308638320 in words is "three billion, three hundred eight million, six hundred thirty-eight thousand, three hundred twenty".