34112136960 has 576 divisors, whose sum is σ = 134311403520. Its totient is φ = 8128512000.

The previous prime is 34112136953. The next prime is 34112136979. The reversal of 34112136960 is 6963121143.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23189025 + ... + 23190495.

It is an arithmetic number, because the mean of its divisors is an integer number (233179520).

Almost surely, 2^34112136960 is an apocalyptic number.

34112136960 is a gapful number since it is divisible by the number (30) 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 34112136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67155701760).

34112136960 is an abundant number, since it is smaller than the sum of its proper divisors (100199266560).

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

34112136960 is a wasteful number, since it uses less digits than its factorization.

34112136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 34112136960 in words is "thirty-four billion, one hundred twelve million, one hundred thirty-six thousand, nine hundred sixty".