3004006284 has 192 divisors, whose sum is σ = 8467200000. Its totient is φ = 917609472.

The previous prime is 3004006279. The next prime is 3004006297. The reversal of 3004006284 is 4826004003.

3004006284 is a `hidden beast` number, since 30 + 0 + 4 + 0 + 0 + 628 + 4 = 666.

It is a super-2 number, since 2×3004006284² = 18048107508622977312, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 20161042 + ... + 20161190.

It is an arithmetic number, because the mean of its divisors is an integer number (44100000).

Almost surely, 2^3004006284 is an apocalyptic number.

3004006284 is a gapful number since it is divisible by the number (34) 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 3004006284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600000).

3004006284 is an abundant number, since it is smaller than the sum of its proper divisors (5463193716).

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

3004006284 is a wasteful number, since it uses less digits than its factorization.

3004006284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3004006284 is about 54808.8157507531. The cubic root of 3004006284 is about 1442.8912915543.

The spelling of 3004006284 in words is "three billion, four million, six thousand, two hundred eighty-four".