3123340800 has 240 divisors, whose sum is σ = 10401864000. Its totient is φ = 826122240.

The previous prime is 3123340771. The next prime is 3123340811. The reversal of 3123340800 is 80433213.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6258951 + ... + 6259449.

It is an arithmetic number, because the mean of its divisors is an integer number (43341100).

Almost surely, 2^3123340800 is an apocalyptic number.

3123340800 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 3123340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200932000).

3123340800 is an abundant number, since it is smaller than the sum of its proper divisors (7278523200).

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

3123340800 is a wasteful number, since it uses less digits than its factorization.

3123340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3123340800 is about 55886.8571311717. The cubic root of 3123340800 is about 1461.7500750203.

The spelling of 3123340800 in words is "three billion, one hundred twenty-three million, three hundred forty thousand, eight hundred".