34144606090 has 128 divisors (see below), whose sum is σ = 74406159360. Its totient is φ = 11035035648.

The previous prime is 34144606079. The next prime is 34144606091. The reversal of 34144606090 is 9060644143.

It is not an unprimeable number, because it can be changed into a prime (34144606091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15262452 + ... + 15264688.

It is an arithmetic number, because the mean of its divisors is an integer number (581298120).

Almost surely, 2^34144606090 is an apocalyptic number.

34144606090 is an abundant number, since it is smaller than the sum of its proper divisors (40261553270).

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

34144606090 is a wasteful number, since it uses less digits than its factorization.

34144606090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456.

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 34144606090 in words is "thirty-four billion, one hundred forty-four million, six hundred six thousand, ninety".