34539789312 has 880 divisors, whose sum is σ = 129352058880. Its totient is φ = 8957952000.

The previous prime is 34539789311. The next prime is 34539789313. The reversal of 34539789312 is 21398793543.

34539789312 is a `hidden beast` number, since 3 + 4 + 539 + 7 + 8 + 93 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (34539789311) and next prime (34539789313).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34539789311) 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 79 ways as a sum of consecutive naturals, for example, 341978062 + ... + 341978162.

It is an arithmetic number, because the mean of its divisors is an integer number (146990976).

Almost surely, 2^34539789312 is an apocalyptic number.

34539789312 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 34539789312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64676029440).

34539789312 is an abundant number, since it is smaller than the sum of its proper divisors (94812269568).

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

34539789312 is a wasteful number, since it uses less digits than its factorization.

34539789312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 163 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 34539789312 in words is "thirty-four billion, five hundred thirty-nine million, seven hundred eighty-nine thousand, three hundred twelve".