3568968000 has 896 divisors, whose sum is σ = 14911303680. Its totient is φ = 829440000.

The previous prime is 3568967971. The next prime is 3568968001. The reversal of 3568968000 is 8698653.

3568968000 is a `hidden beast` number, since 3 + 568 + 9 + 6 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3568968001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87047980 + ... + 87048020.

It is an arithmetic number, because the mean of its divisors is an integer number (16642080).

Almost surely, 2^3568968000 is an apocalyptic number.

3568968000 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 3568968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7455651840).

3568968000 is an abundant number, since it is smaller than the sum of its proper divisors (11342335680).

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

3568968000 is a wasteful number, since it uses less digits than its factorization.

3568968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3568968000 is about 59740.8403020915. The cubic root of 3568968000 is about 1528.2024256001.

The spelling of 3568968000 in words is "three billion, five hundred sixty-eight million, nine hundred sixty-eight thousand".