3568000800 has 864 divisors, whose sum is σ = 15638749056. Its totient is φ = 685670400.

The previous prime is 3568000759. The next prime is 3568000801. The reversal of 3568000800 is 80008653.

3568000800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3568000801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 115096785 + ... + 115096815.

It is an arithmetic number, because the mean of its divisors is an integer number (18100404).

Almost surely, 2^3568000800 is an apocalyptic number.

3568000800 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 3568000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819374528).

3568000800 is an abundant number, since it is smaller than the sum of its proper divisors (12070748256).

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

3568000800 is a wasteful number, since it uses less digits than its factorization.

3568000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 3568000800 is about 59732.7447887672. The cubic root of 3568000800 is about 1528.0643641281.

The spelling of 3568000800 in words is "three billion, five hundred sixty-eight million, eight hundred", and thus it is an aban number.