34950109920 has 192 divisors, whose sum is σ = 122657504256. Its totient is φ = 8292423680.

The previous prime is 34950109919. The next prime is 34950109927. The reversal of 34950109920 is 2990105943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34950109927) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 177742 + ... + 318578.

It is an arithmetic number, because the mean of its divisors is an integer number (638841168).

Almost surely, 2^34950109920 is an apocalyptic number.

34950109920 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 34950109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61328752128).

34950109920 is an abundant number, since it is smaller than the sum of its proper divisors (87707394336).

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

34950109920 is a wasteful number, since it uses less digits than its factorization.

34950109920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140913 (or 140905 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 34950109920 in words is "thirty-four billion, nine hundred fifty million, one hundred nine thousand, nine hundred twenty".