3004056228096 has 2592 divisors, whose sum is σ = 12506897055744. Its totient is φ = 674434252800.

The previous prime is 3004056228091. The next prime is 3004056228097. The reversal of 3004056228096 is 6908226504003.

3004056228096 is a `hidden beast` number, since 3 + 0 + 0 + 4 + 0 + 562 + 2 + 80 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (3004056228091) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23653985985 + ... + 23653986111.

Almost surely, 2^{3004056228096} is an apocalyptic number.

3004056228096 is a gapful number since it is divisible by the number (36) 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 3004056228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6253448527872).

3004056228096 is an abundant number, since it is smaller than the sum of its proper divisors (9502840827648).

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

3004056228096 is a wasteful number, since it uses less digits than its factorization.

3004056228096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3004056228096 in words is "three trillion, four billion, fifty-six million, two hundred twenty-eight thousand, ninety-six".