3068318400 has 336 divisors, whose sum is σ = 11728606464. Its totient is φ = 687697920.

The previous prime is 3068318377. The next prime is 3068318413. The reversal of 3068318400 is 48138603.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1779939 + ... + 1781661.

Almost surely, 2^3068318400 is an apocalyptic number.

3068318400 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 3068318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864303232).

3068318400 is an abundant number, since it is smaller than the sum of its proper divisors (8660288064).

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

3068318400 is a wasteful number, since it uses less digits than its factorization.

3068318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3068318400 is about 55392.4038113531. The cubic root of 3068318400 is about 1453.1155206689.

The spelling of 3068318400 in words is "three billion, sixty-eight million, three hundred eighteen thousand, four hundred".