3068841600 has 384 divisors, whose sum is σ = 12255912000. Its totient is φ = 743731200.

The previous prime is 3068841593. The next prime is 3068841623. The reversal of 3068841600 is 61488603.

It is a happy number.

3068841600 is a `hidden beast` number, since 3 + 0 + 6 + 8 + 8 + 41 + 600 = 666.

3068841600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 948786 + ... + 952014.

Almost surely, 2^3068841600 is an apocalyptic number.

3068841600 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 3068841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6127956000).

3068841600 is an abundant number, since it is smaller than the sum of its proper divisors (9187070400).

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

3068841600 is a wasteful number, since it uses less digits than its factorization.

3068841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3068841600 is about 55397.1262792575. The cubic root of 3068841600 is about 1453.1981095371.

The spelling of 3068841600 in words is "three billion, sixty-eight million, eight hundred forty-one thousand, six hundred".