3126824064 has 288 divisors, whose sum is σ = 11274566940. Its totient is φ = 824463360.

The previous prime is 3126824047. The next prime is 3126824069. The reversal of 3126824064 is 4604286213.

It can be written as a sum of positive squares in 2 ways, for example, as 3092249664 + 34574400 = 55608^2 + 5880^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (3126824069) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 731694 + ... + 735954.

Almost surely, 2^3126824064 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 3126824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637283470).

3126824064 is an abundant number, since it is smaller than the sum of its proper divisors (8147742876).

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

3126824064 is a wasteful number, since it uses less digits than its factorization.

3126824064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3126824064 is about 55918.0119818293. The cubic root of 3126824064 is about 1462.2932722044.

The spelling of 3126824064 in words is "three billion, one hundred twenty-six million, eight hundred twenty-four thousand, sixty-four".