3004685280 has 288 divisors, whose sum is σ = 10745935200. Its totient is φ = 792778752.

The previous prime is 3004685249. The next prime is 3004685303. The reversal of 3004685280 is 825864003.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4237566 + ... + 4238274.

It is an arithmetic number, because the mean of its divisors is an integer number (37312275).

Almost surely, 2^3004685280 is an apocalyptic number.

3004685280 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 3004685280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372967600).

3004685280 is an abundant number, since it is smaller than the sum of its proper divisors (7741249920).

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

3004685280 is a wasteful number, since it uses less digits than its factorization.

3004685280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3004685280 is about 54815.0096232775. The cubic root of 3004685280 is about 1442.9999956778. Note that the first 5 decimals are identical.

The spelling of 3004685280 in words is "three billion, four million, six hundred eighty-five thousand, two hundred eighty".