3020608800 has 288 divisors, whose sum is σ = 11918612160. Its totient is φ = 732211200.

The previous prime is 3020608793. The next prime is 3020608817. The reversal of 3020608800 is 88060203.

3020608800 is a `hidden beast` number, since 30 + 20 + 608 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 231244 + ... + 243956.

It is an arithmetic number, because the mean of its divisors is an integer number (41384070).

Almost surely, 2^3020608800 is an apocalyptic number.

3020608800 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 3020608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959306080).

3020608800 is an abundant number, since it is smaller than the sum of its proper divisors (8898003360).

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

3020608800 is a wasteful number, since it uses less digits than its factorization.

3020608800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12753 (or 12734 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3020608800 is about 54960.0655021444. The cubic root of 3020608800 is about 1445.5445958332.

The spelling of 3020608800 in words is "three billion, twenty million, six hundred eight thousand, eight hundred".