34206252234 has 192 divisors, whose sum is σ = 91172210688. Its totient is φ = 8296041600.

The previous prime is 34206252203. The next prime is 34206252251. The reversal of 34206252234 is 43225260243.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 34206252195 and 34206252204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19646604 + ... + 19648344.

It is an arithmetic number, because the mean of its divisors is an integer number (474855264).

Almost surely, 2^34206252234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34206252234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45586105344).

34206252234 is an abundant number, since it is smaller than the sum of its proper divisors (56965958454).

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

34206252234 is a wasteful number, since it uses less digits than its factorization.

34206252234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The spelling of 34206252234 in words is "thirty-four billion, two hundred six million, two hundred fifty-two thousand, two hundred thirty-four".