34347755484 has 288 divisors, whose sum is σ = 105570855936. Its totient is φ = 9562613760.

The previous prime is 34347755483. The next prime is 34347755537. The reversal of 34347755484 is 48455774343.

34347755484 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 7 + 7 + 554 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 34347755484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34347755483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46858782 + ... + 46859514.

It is an arithmetic number, because the mean of its divisors is an integer number (366565472).

Almost surely, 2^34347755484 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 34347755484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52785427968).

34347755484 is an abundant number, since it is smaller than the sum of its proper divisors (71223100452).

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

34347755484 is a wasteful number, since it uses less digits than its factorization.

34347755484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 913 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 54.

The spelling of 34347755484 in words is "thirty-four billion, three hundred forty-seven million, seven hundred fifty-five thousand, four hundred eighty-four".