34106835972 has 48 divisors (see below), whose sum is σ = 86912179200. Its totient is φ = 10324121760.

The previous prime is 34106835947. The next prime is 34106836003. The reversal of 34106835972 is 27953860143.

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, 19272 + ... + 261887.

It is an arithmetic number, because the mean of its divisors is an integer number (1810670400).

It is a 1-persistent number, because it is pandigital, but 2⋅34106835972 = 68213671944 is not.

Almost surely, 2^34106835972 is an apocalyptic number.

It is an amenable number.

34106835972 is an abundant number, since it is smaller than the sum of its proper divisors (52805343228).

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

34106835972 is a wasteful number, since it uses less digits than its factorization.

34106835972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282096 (or 282094 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

It can be divided in two parts, 34106 and 835972, that added together give a palindrome (870078).

The spelling of 34106835972 in words is "thirty-four billion, one hundred six million, eight hundred thirty-five thousand, nine hundred seventy-two".