3348280320 has 704 divisors, whose sum is σ = 14148864000. Its totient is φ = 654704640.

The previous prime is 3348280319. The next prime is 3348280343. The reversal of 3348280320 is 230828433.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×3348280320² = 22421962202598604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22471606 + ... + 22471754.

Almost surely, 2^3348280320 is an apocalyptic number.

3348280320 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 3348280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7074432000).

3348280320 is an abundant number, since it is smaller than the sum of its proper divisors (10800583680).

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

3348280320 is a wasteful number, since it uses less digits than its factorization.

3348280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3348280320 is about 57864.3268344150. The cubic root of 3348280320 is about 1496.0310363698.

The spelling of 3348280320 in words is "three billion, three hundred forty-eight million, two hundred eighty thousand, three hundred twenty".