3023380800 has 252 divisors, whose sum is σ = 11723315136. Its totient is φ = 732902400.

The previous prime is 3023380771. The next prime is 3023380847. The reversal of 3023380800 is 80833203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 148857 + ... + 167943.

Almost surely, 2^3023380800 is an apocalyptic number.

3023380800 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 3023380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5861657568).

3023380800 is an abundant number, since it is smaller than the sum of its proper divisors (8699934336).

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

3023380800 is a wasteful number, since it uses less digits than its factorization.

3023380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19126 (or 19108 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3023380800 is about 54985.2780296690. The cubic root of 3023380800 is about 1445.9866507035.

The spelling of 3023380800 in words is "three billion, twenty-three million, three hundred eighty thousand, eight hundred".