34545033152 has 112 divisors (see below), whose sum is σ = 80322359040. Its totient is φ = 14432366592.

The previous prime is 34545033101. The next prime is 34545033161. The reversal of 34545033152 is 25133054543.

It is a happy number.

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

It is a congruent number.

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, 11922968 + ... + 11925864.

It is an arithmetic number, because the mean of its divisors is an integer number (717163920).

Almost surely, 2^34545033152 is an apocalyptic number.

34545033152 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 34545033152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40161179520).

34545033152 is an abundant number, since it is smaller than the sum of its proper divisors (45777325888).

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

34545033152 is a wasteful number, since it uses less digits than its factorization.

34545033152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 34545033152 its reverse (25133054543), we get a palindrome (59678087695).

The spelling of 34545033152 in words is "thirty-four billion, five hundred forty-five million, thirty-three thousand, one hundred fifty-two".