3380009600 has 192 divisors, whose sum is σ = 9190795680. Its totient is φ = 1218048000.

The previous prime is 3380009593. The next prime is 3380009609. The reversal of 3380009600 is 69000833.

It is a super-2 number, since 2×3380009600² = 22848929792184320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3380009609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4610834 + ... + 4611566.

Almost surely, 2^3380009600 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 3380009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595397840).

3380009600 is an abundant number, since it is smaller than the sum of its proper divisors (5810786080).

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

3380009600 is a wasteful number, since it uses less digits than its factorization.

3380009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 3380009600 is about 58137.8499774458. The cubic root of 3380009600 is about 1500.7417960616.

The spelling of 3380009600 in words is "three billion, three hundred eighty million, nine thousand, six hundred".