3086995968 has 640 divisors, whose sum is σ = 11627827200. Its totient is φ = 788299776.

The previous prime is 3086995963. The next prime is 3086995981. The reversal of 3086995968 is 8695996803.

3086995968 is a `hidden beast` number, since 30 + 8 + 6 + 9 + 9 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3086995963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42287580 + ... + 42287652.

It is an arithmetic number, because the mean of its divisors is an integer number (18168480).

Almost surely, 2^3086995968 is an apocalyptic number.

3086995968 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 3086995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5813913600).

3086995968 is an abundant number, since it is smaller than the sum of its proper divisors (8540831232).

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

3086995968 is a wasteful number, since it uses less digits than its factorization.

3086995968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The square root of 3086995968 is about 55560.7412477551. The cubic root of 3086995968 is about 1456.0580422057.

The spelling of 3086995968 in words is "three billion, eighty-six million, nine hundred ninety-five thousand, nine hundred sixty-eight".