3020408064 has 162 divisors, whose sum is σ = 8928391290. Its totient is φ = 982001664.

The previous prime is 3020408059. The next prime is 3020408077. The reversal of 3020408064 is 4608040203.

It can be written as a sum of positive squares in only one way, i.e., 2061886464 + 958521600 = 45408^2 + 30960^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4259742 + ... + 4260450.

Almost surely, 2^3020408064 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 3020408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464195645).

3020408064 is an abundant number, since it is smaller than the sum of its proper divisors (5907983226).

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

3020408064 is an equidigital number, since it uses as much as digits as its factorization.

3020408064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3020408064 is about 54958.2392731063. The cubic root of 3020408064 is about 1445.5125736718.

Adding to 3020408064 its reverse (4608040203), we get a palindrome (7628448267).

The spelling of 3020408064 in words is "three billion, twenty million, four hundred eight thousand, sixty-four".