3001798800 has 1440 divisors, whose sum is σ = 15111532800. Its totient is φ = 541900800.

The previous prime is 3001798769. The next prime is 3001798801. The reversal of 3001798800 is 88971003.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001798801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 176576392 + ... + 176576408.

It is an arithmetic number, because the mean of its divisors is an integer number (10494120).

Almost surely, 2^3001798800 is an apocalyptic number.

3001798800 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 3001798800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555766400).

3001798800 is an abundant number, since it is smaller than the sum of its proper divisors (12109734000).

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

3001798800 is a wasteful number, since it uses less digits than its factorization.

3001798800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 3001798800 is about 54788.6740120620. The cubic root of 3001798800 is about 1442.5377703276.

The spelling of 3001798800 in words is "three billion, one million, seven hundred ninety-eight thousand, eight hundred".