3121828864 has 264 divisors, whose sum is σ = 8325427392. Its totient is φ = 1136394240.

The previous prime is 3121828841. The next prime is 3121828883. The reversal of 3121828864 is 4688281213.

It is a happy number.

It is a super-2 number, since 2×3121828864² = 19491630912207060992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3121828864.

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 23 ways as a sum of consecutive naturals, for example, 22787004 + ... + 22787140.

Almost surely, 2^3121828864 is an apocalyptic number.

3121828864 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 3121828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162713696).

3121828864 is an abundant number, since it is smaller than the sum of its proper divisors (5203598528).

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

3121828864 is a wasteful number, since it uses less digits than its factorization.

3121828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 174 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

The square root of 3121828864 is about 55873.3287356320. The cubic root of 3121828864 is about 1461.5141706459.

The spelling of 3121828864 in words is "three billion, one hundred twenty-one million, eight hundred twenty-eight thousand, eight hundred sixty-four".