3008878400 has 168 divisors, whose sum is σ = 8429085504. Its totient is φ = 1046425600.

The previous prime is 3008878393. The next prime is 3008878409. The reversal of 3008878400 is 48788003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3008878409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401084 + ... + 408516.

It is an arithmetic number, because the mean of its divisors is an integer number (50173128).

Almost surely, 2^3008878400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3008878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214542752).

3008878400 is an abundant number, since it is smaller than the sum of its proper divisors (5420207104).

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

3008878400 is a wasteful number, since it uses less digits than its factorization.

3008878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7489 (or 7474 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 3008878400 is about 54853.2442067012. The cubic root of 3008878400 is about 1443.6709322465.

The spelling of 3008878400 in words is "three billion, eight million, eight hundred seventy-eight thousand, four hundred".