3040856064 has 216 divisors, whose sum is σ = 9289401030. Its totient is φ = 958169088.

The previous prime is 3040856051. The next prime is 3040856081. The reversal of 3040856064 is 4606580403.

3040856064 is a `hidden beast` number, since 3 + 0 + 40 + 8 + 5 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2079360000 + 961496064 = 45600^2 + 31008^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6653724 + ... + 6654180.

Almost surely, 2^3040856064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3040856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644700515).

3040856064 is an abundant number, since it is smaller than the sum of its proper divisors (6248544966).

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

3040856064 is a wasteful number, since it uses less digits than its factorization.

3040856064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3040856064 is about 55143.9576381674. The cubic root of 3040856064 is about 1448.7672541168.

The spelling of 3040856064 in words is "three billion, forty million, eight hundred fifty-six thousand, sixty-four".