34832291808 has 96 divisors (see below), whose sum is σ = 92108016000. Its totient is φ = 11525552640.

The previous prime is 34832291807. The next prime is 34832291869. The reversal of 34832291808 is 80819223843.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34832291801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9435243 + ... + 9438933.

It is an arithmetic number, because the mean of its divisors is an integer number (959458500).

Almost surely, 2^34832291808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34832291808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46054008000).

34832291808 is an abundant number, since it is smaller than the sum of its proper divisors (57275724192).

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

34832291808 is a wasteful number, since it uses less digits than its factorization.

34832291808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 34832291808 in words is "thirty-four billion, eight hundred thirty-two million, two hundred ninety-one thousand, eight hundred eight".