3122400064 has 112 divisors (see below), whose sum is σ = 7529535360. Its totient is φ = 1254113280.

The previous prime is 3122399999. The next prime is 3122400079. The reversal of 3122400064 is 4600042213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2139367 + ... + 2140825.

Almost surely, 2^3122400064 is an apocalyptic number.

3122400064 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 3122400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764767680).

3122400064 is an abundant number, since it is smaller than the sum of its proper divisors (4407135296).

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

3122400064 is a wasteful number, since it uses less digits than its factorization.

3122400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3122400064 is about 55878.4400641249. The cubic root of 3122400064 is about 1461.6033027990.

Adding to 3122400064 its reverse (4600042213), we get a palindrome (7722442277).

The spelling of 3122400064 in words is "three billion, one hundred twenty-two million, four hundred thousand, sixty-four".