3081536640 has 384 divisors, whose sum is σ = 13098758400. Its totient is φ = 650059776.

The previous prime is 3081536621. The next prime is 3081536659. The reversal of 3081536640 is 466351803.

3081536640 is a `hidden beast` number, since 3 + 0 + 8 + 1 + 5 + 3 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (3081536621) and next prime (3081536659).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3081536595 and 3081536604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521221 + ... + 527099.

It is an arithmetic number, because the mean of its divisors is an integer number (34111350).

Almost surely, 2^3081536640 is an apocalyptic number.

3081536640 is a gapful number since it is divisible by the number (30) 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 3081536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549379200).

3081536640 is an abundant number, since it is smaller than the sum of its proper divisors (10017221760).

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

3081536640 is a wasteful number, since it uses less digits than its factorization.

3081536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3081536640 is about 55511.5901411588. The cubic root of 3081536640 is about 1455.1991933330.

The spelling of 3081536640 in words is "three billion, eighty-one million, five hundred thirty-six thousand, six hundred forty".