34231020174 has 128 divisors (see below), whose sum is σ = 89731152000. Its totient is φ = 9571129344.

The previous prime is 34231020151. The next prime is 34231020181. The reversal of 34231020174 is 47102013243.

It is a happy number.

34231020174 is a `hidden beast` number, since 342 + 310 + 2 + 0 + 1 + 7 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296632 + ... + 395540.

It is an arithmetic number, because the mean of its divisors is an integer number (701024625).

Almost surely, 2^34231020174 is an apocalyptic number.

34231020174 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34231020174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44865576000).

34231020174 is an abundant number, since it is smaller than the sum of its proper divisors (55500131826).

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

34231020174 is a wasteful number, since it uses less digits than its factorization.

34231020174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98979 (or 98973 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 34231020174 in words is "thirty-four billion, two hundred thirty-one million, twenty thousand, one hundred seventy-four".