3042904800 has 288 divisors, whose sum is σ = 11295964512. Its totient is φ = 704839680.

The previous prime is 3042904769. The next prime is 3042904859. The reversal of 3042904800 is 84092403.

It is a happy number.

3042904800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 527532 + ... + 533268.

It is an arithmetic number, because the mean of its divisors is an integer number (39222099).

Almost surely, 2^3042904800 is an apocalyptic number.

3042904800 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 3042904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647982256).

3042904800 is an abundant number, since it is smaller than the sum of its proper divisors (8253059712).

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

3042904800 is a wasteful number, since it uses less digits than its factorization.

3042904800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5790 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3042904800 is about 55162.5307613782. The cubic root of 3042904800 is about 1449.0925435785.

The spelling of 3042904800 in words is "three billion, forty-two million, nine hundred four thousand, eight hundred".