34772086944 has 336 divisors, whose sum is σ = 121103700480. Its totient is φ = 9613002240.

The previous prime is 34772086933. The next prime is 34772086957. The reversal of 34772086944 is 44968027743.

34772086944 is a `hidden beast` number, since 3 + 477 + 2 + 0 + 86 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 5058742 + ... + 5065610.

It is an arithmetic number, because the mean of its divisors is an integer number (360427680).

Almost surely, 2^34772086944 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 34772086944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60551850240).

34772086944 is an abundant number, since it is smaller than the sum of its proper divisors (86331613536).

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

34772086944 is an equidigital number, since it uses as much as digits as its factorization.

34772086944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935 (or 6912 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 34772086944 in words is "thirty-four billion, seven hundred seventy-two million, eighty-six thousand, nine hundred forty-four".