3068740800 has 252 divisors, whose sum is σ = 11018245680. Its totient is φ = 809994240.

The previous prime is 3068740793. The next prime is 3068740811. The reversal of 3068740800 is 80478603.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1482166 + ... + 1484234.

Almost surely, 2^3068740800 is an apocalyptic number.

3068740800 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 3068740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509122840).

3068740800 is an abundant number, since it is smaller than the sum of its proper divisors (7949504880).

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

3068740800 is a wasteful number, since it uses less digits than its factorization.

3068740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3068740800 is about 55396.2164773010. The cubic root of 3068740800 is about 1453.1821986503.

The spelling of 3068740800 in words is "three billion, sixty-eight million, seven hundred forty thousand, eight hundred".