34129573632 has 324 divisors, whose sum is σ = 123621978480. Its totient is φ = 8864317440.

The previous prime is 34129573619. The next prime is 34129573637. The reversal of 34129573632 is 23637592143.

34129573632 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 9 + 5 + 7 + 3 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34129573637) 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 35 ways as a sum of consecutive naturals, for example, 1942744 + ... + 1960232.

Almost surely, 2^34129573632 is an apocalyptic number.

34129573632 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 34129573632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61810989240).

34129573632 is an abundant number, since it is smaller than the sum of its proper divisors (89492404848).

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

34129573632 is a wasteful number, since it uses less digits than its factorization.

34129573632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17540 (or 17512 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 34129573632 in words is "thirty-four billion, one hundred twenty-nine million, five hundred seventy-three thousand, six hundred thirty-two".