3628125126 has 96 divisors (see below), whose sum is σ = 8402940000. Its totient is φ = 1128121344.

The previous prime is 3628125001. The next prime is 3628125143. The reversal of 3628125126 is 6215218263.

3628125126 is a `hidden beast` number, since 3 + 62 + 81 + 2 + 512 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10395600 + ... + 10395948.

It is an arithmetic number, because the mean of its divisors is an integer number (87530625).

Almost surely, 2^3628125126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3628125126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201470000).

3628125126 is an abundant number, since it is smaller than the sum of its proper divisors (4774814874).

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

3628125126 is a wasteful number, since it uses less digits than its factorization.

3628125126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 755 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 3628125126 is about 60233.9200617061. The cubic root of 3628125126 is about 1536.5997286767.

The spelling of 3628125126 in words is "three billion, six hundred twenty-eight million, one hundred twenty-five thousand, one hundred twenty-six".