3020631264 has 360 divisors, whose sum is σ = 10949677200. Its totient is φ = 811689984.

The previous prime is 3020631259. The next prime is 3020631269. The reversal of 3020631264 is 4621360203.

3020631264 is a `hidden beast` number, since 3 + 0 + 2 + 0 + 631 + 26 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3020631259) and next prime (3020631269).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020631269) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 2158437 + ... + 2159835.

It is an arithmetic number, because the mean of its divisors is an integer number (30415770).

Almost surely, 2^3020631264 is an apocalyptic number.

3020631264 is a gapful number since it is divisible by the number (34) 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 3020631264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474838600).

3020631264 is an abundant number, since it is smaller than the sum of its proper divisors (7929045936).

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

3020631264 is a wasteful number, since it uses less digits than its factorization.

3020631264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3020631264 is about 54960.2698683331. The cubic root of 3020631264 is about 1445.5481792867.

Adding to 3020631264 its reverse (4621360203), we get a palindrome (7641991467).

The spelling of 3020631264 in words is "three billion, twenty million, six hundred thirty-one thousand, two hundred sixty-four".