3258137106 has 96 divisors (see below), whose sum is σ = 8255520000. Its totient is φ = 928287360.

The previous prime is 3258137087. The next prime is 3258137111. The reversal of 3258137106 is 6017318523.

3258137106 is a `hidden beast` number, since 3 + 2 + 581 + 3 + 71 + 0 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3697786 + ... + 3698666.

It is an arithmetic number, because the mean of its divisors is an integer number (85995000).

Almost surely, 2^3258137106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3258137106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760000).

3258137106 is an abundant number, since it is smaller than the sum of its proper divisors (4997382894).

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

3258137106 is a wasteful number, since it uses less digits than its factorization.

3258137106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3258137106 is about 57080.0937805817. The cubic root of 3258137106 is about 1482.4832164645.

The spelling of 3258137106 in words is "three billion, two hundred fifty-eight million, one hundred thirty-seven thousand, one hundred six".