3084259968 has 384 divisors, whose sum is σ = 9976824000. Its totient is φ = 910393344.

The previous prime is 3084259963. The next prime is 3084259993. The reversal of 3084259968 is 8699524803.

3084259968 is a `hidden beast` number, since 3 + 0 + 8 + 42 + 599 + 6 + 8 = 666.

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

It is a super-2 number, since 2×3084259968² = 19025319100414722048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3084259963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27294280 + ... + 27294392.

Almost surely, 2^3084259968 is an apocalyptic number.

3084259968 is a gapful number since it is divisible by the number (38) 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 3084259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988412000).

3084259968 is an abundant number, since it is smaller than the sum of its proper divisors (6892564032).

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

3084259968 is a wasteful number, since it uses less digits than its factorization.

3084259968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 3084259968 is about 55536.1140880418. The cubic root of 3084259968 is about 1455.6277476883.

The spelling of 3084259968 in words is "three billion, eighty-four million, two hundred fifty-nine thousand, nine hundred sixty-eight".