3005392896 has 384 divisors, whose sum is σ = 9993110400. Its totient is φ = 895795200.

The previous prime is 3005392891. The next prime is 3005392939. The reversal of 3005392896 is 6982935003.

3005392896 is a `hidden beast` number, since 3 + 0 + 0 + 539 + 28 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (3005392891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49268706 + ... + 49268766.

It is an arithmetic number, because the mean of its divisors is an integer number (26023725).

Almost surely, 2^3005392896 is an apocalyptic number.

3005392896 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 3005392896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996555200).

3005392896 is an abundant number, since it is smaller than the sum of its proper divisors (6987717504).

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

3005392896 is an frugal number, since it uses more digits than its factorization.

3005392896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3005392896 is about 54821.4638257681. The cubic root of 3005392896 is about 1443.1132643058.

The spelling of 3005392896 in words is "three billion, five million, three hundred ninety-two thousand, eight hundred ninety-six".