3328784640 has 288 divisors, whose sum is σ = 12013814400. Its totient is φ = 872570880.

The previous prime is 3328784617. The next prime is 3328784653. The reversal of 3328784640 is 464878233.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3328784640² = 22161614358999859200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2107371 + ... + 2108949.

Almost surely, 2^3328784640 is an apocalyptic number.

3328784640 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 3328784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006907200).

3328784640 is an abundant number, since it is smaller than the sum of its proper divisors (8685029760).

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

3328784640 is a wasteful number, since it uses less digits than its factorization.

3328784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3328784640 is about 57695.6206310323. The cubic root of 3328784640 is about 1493.1217883447.

The spelling of 3328784640 in words is "three billion, three hundred twenty-eight million, seven hundred eighty-four thousand, six hundred forty".