34060966632 has 432 divisors, whose sum is σ = 119676850020. Its totient is φ = 8717829120.

The previous prime is 34060966631. The next prime is 34060966633. The reversal of 34060966632 is 23666906043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34060966631) and next prime (34060966633).

It can be written as a sum of positive squares in 2 ways, for example, as 29696250276 + 4364716356 = 172326^2 + 66066^2 .

It is not an unprimeable number, because it can be changed into a prime (34060966631) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 31162278 + ... + 31163370.

Almost surely, 2^34060966632 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 34060966632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59838425010).

34060966632 is an abundant number, since it is smaller than the sum of its proper divisors (85615883388).

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

34060966632 is a wasteful number, since it uses less digits than its factorization.

34060966632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 34060966632 in words is "thirty-four billion, sixty million, nine hundred sixty-six thousand, six hundred thirty-two".