34254115020 has 216 divisors, whose sum is σ = 110255221440. Its totient is φ = 8602782720.

The previous prime is 34254115013. The next prime is 34254115109. The reversal of 34254115020 is 2051145243.

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 71 ways as a sum of consecutive naturals, for example, 6203821 + ... + 6209339.

It is an arithmetic number, because the mean of its divisors is an integer number (510440840).

Almost surely, 2^34254115020 is an apocalyptic number.

34254115020 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 34254115020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55127610720).

34254115020 is an abundant number, since it is smaller than the sum of its proper divisors (76001106420).

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

34254115020 is a wasteful number, since it uses less digits than its factorization.

34254115020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 34254115020 in words is "thirty-four billion, two hundred fifty-four million, one hundred fifteen thousand, twenty".