34532739072 has 480 divisors, whose sum is σ = 113210697600. Its totient is φ = 10423074816.

The previous prime is 34532739067. The next prime is 34532739083. The reversal of 34532739072 is 27093723543.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144488329 + ... + 144488567.

It is an arithmetic number, because the mean of its divisors is an integer number (235855620).

Almost surely, 2^34532739072 is an apocalyptic number.

34532739072 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 34532739072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56605348800).

34532739072 is an abundant number, since it is smaller than the sum of its proper divisors (78677958528).

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

34532739072 is a wasteful number, since it uses less digits than its factorization.

34532739072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 34532739072 in words is "thirty-four billion, five hundred thirty-two million, seven hundred thirty-nine thousand, seventy-two".