34842437952 has 112 divisors (see below), whose sum is σ = 105452216832. Its totient is φ = 9945976320.

The previous prime is 34842437923. The next prime is 34842437969. The reversal of 34842437952 is 25973424843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 34842437895 and 34842437904.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1551927 + ... + 1574217.

Almost surely, 2^34842437952 is an apocalyptic number.

34842437952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34842437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52726108416).

34842437952 is an abundant number, since it is smaller than the sum of its proper divisors (70609778880).

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

34842437952 is a wasteful number, since it uses less digits than its factorization.

34842437952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23476 (or 23466 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The spelling of 34842437952 in words is "thirty-four billion, eight hundred forty-two million, four hundred thirty-seven thousand, nine hundred fifty-two".