34321086072 has 960 divisors, whose sum is σ = 131187561120. Its totient is φ = 8277147648.

The previous prime is 34321086071. The next prime is 34321086091. The reversal of 34321086072 is 27068012343.

It is a happy number.

34321086072 is a `hidden beast` number, since 3 + 4 + 32 + 10 + 8 + 607 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34321086071) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 470151828 + ... + 470151900.

Almost surely, 2^34321086072 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 34321086072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65593780560).

34321086072 is an abundant number, since it is smaller than the sum of its proper divisors (96866475048).

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

34321086072 is a wasteful number, since it uses less digits than its factorization.

34321086072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 34321086072 in words is "thirty-four billion, three hundred twenty-one million, eighty-six thousand, seventy-two".