34106749632 has 168 divisors, whose sum is σ = 101306416640. Its totient is φ = 10963330560.

The previous prime is 34106749619. The next prime is 34106749637. The reversal of 34106749632 is 23694760143.

34106749632 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 6 + 7 + 4 + 9 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (34106749637) 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 23 ways as a sum of consecutive naturals, for example, 1947957 + ... + 1965387.

Almost surely, 2^34106749632 is an apocalyptic number.

34106749632 is a gapful number since it is divisible by the number (32) 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 34106749632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50653208320).

34106749632 is an abundant number, since it is smaller than the sum of its proper divisors (67199667008).

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

34106749632 is a wasteful number, since it uses less digits than its factorization.

34106749632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17571 (or 17558 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 34106749632 in words is "thirty-four billion, one hundred six million, seven hundred forty-nine thousand, six hundred thirty-two".