3126445600 has 72 divisors (see below), whose sum is σ = 7672360500. Its totient is φ = 1244037120.

The previous prime is 3126445561. The next prime is 3126445633. The reversal of 3126445600 is 65446213.

It can be written as a sum of positive squares in 6 ways, for example, as 479960464 + 2646485136 = 21908^2 + 51444^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144276 + ... + 164524.

Almost surely, 2^3126445600 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 3126445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836180250).

3126445600 is an abundant number, since it is smaller than the sum of its proper divisors (4545914900).

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

3126445600 is a wasteful number, since it uses less digits than its factorization.

3126445600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20462 (or 20449 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 3126445600 is about 55914.6277820035. The cubic root of 3126445600 is about 1462.2342722224.

The spelling of 3126445600 in words is "three billion, one hundred twenty-six million, four hundred forty-five thousand, six hundred".