3005164800 has 1080 divisors, whose sum is σ = 13248652032. Its totient is φ = 663552000.

The previous prime is 3005164781. The next prime is 3005164847. The reversal of 3005164800 is 84615003.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 96940785 + ... + 96940815.

Almost surely, 2^3005164800 is an apocalyptic number.

3005164800 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 3005164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6624326016).

3005164800 is an abundant number, since it is smaller than the sum of its proper divisors (10243487232).

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

3005164800 is a wasteful number, since it uses less digits than its factorization.

3005164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3005164800 is about 54819.3834332346. The cubic root of 3005164800 is about 1443.0767547487.

Adding to 3005164800 its reverse (84615003), we get a palindrome (3089779803).

The spelling of 3005164800 in words is "three billion, five million, one hundred sixty-four thousand, eight hundred".