34130971224 has 96 divisors (see below), whose sum is σ = 105772212000. Its totient is φ = 9739823616.

The previous prime is 34130971181. The next prime is 34130971241. The reversal of 34130971224 is 42217903143.

It is a happy number.

34130971224 is a `hidden beast` number, since 341 + 3 + 0 + 97 + 1 + 224 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 376972 + ... + 458660.

It is an arithmetic number, because the mean of its divisors is an integer number (1101793875).

Almost surely, 2^34130971224 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 34130971224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52886106000).

34130971224 is an abundant number, since it is smaller than the sum of its proper divisors (71641240776).

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

34130971224 is a wasteful number, since it uses less digits than its factorization.

34130971224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82537 (or 82530 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 34130971224 in words is "thirty-four billion, one hundred thirty million, nine hundred seventy-one thousand, two hundred twenty-four".