3006859968000 has 3200 divisors, whose sum is σ = 13703098945536. Its totient is φ = 640991232000.

The previous prime is 3006859967999. The next prime is 3006859968109. The reversal of 3006859968000 is 8699586003.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×3006859968000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 63975743977 + ... + 63975744023.

Almost surely, 2^{3006859968000} is an apocalyptic number.

3006859968000 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 3006859968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6851549472768).

3006859968000 is an abundant number, since it is smaller than the sum of its proper divisors (10696238977536).

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

3006859968000 is an equidigital number, since it uses as much as digits as its factorization.

3006859968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 3006859968000 in words is "three trillion, six billion, eight hundred fifty-nine million, nine hundred sixty-eight thousand".