34510136832 has 140 divisors (see below), whose sum is σ = 103383131940. Its totient is φ = 11503254528.

The previous prime is 34510136831. The next prime is 34510136849. The reversal of 34510136832 is 23863101543.

34510136832 is a `hidden beast` number, since 3 + 4 + 510 + 136 + 8 + 3 + 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 (34510136831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 327019 + ... + 419477.

Almost surely, 2^34510136832 is an apocalyptic number.

34510136832 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 34510136832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51691565970).

34510136832 is an abundant number, since it is smaller than the sum of its proper divisors (68872995108).

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

34510136832 is an frugal number, since it uses more digits than its factorization.

34510136832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92495 (or 92464 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 34510136832 in words is "thirty-four billion, five hundred ten million, one hundred thirty-six thousand, eight hundred thirty-two".