3017780064 has 384 divisors, whose sum is σ = 9998069760. Its totient is φ = 890196480.

The previous prime is 3017780027. The next prime is 3017780081. The reversal of 3017780064 is 4600877103.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28203499 + ... + 28203605.

It is an arithmetic number, because the mean of its divisors is an integer number (26036640).

Almost surely, 2^3017780064 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 3017780064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999034880).

3017780064 is an abundant number, since it is smaller than the sum of its proper divisors (6980289696).

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

3017780064 is a wasteful number, since it uses less digits than its factorization.

3017780064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3017780064 is about 54934.3250072302. The cubic root of 3017780064 is about 1445.0932142947.

The spelling of 3017780064 in words is "three billion, seventeen million, seven hundred eighty thousand, sixty-four".