34497010944 has 324 divisors, whose sum is σ = 113401430688. Its totient is φ = 10451358720.

The previous prime is 34497010937. The next prime is 34497010949. The reversal of 34497010944 is 44901079443.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×34497010944² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34497010944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34497010949) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 7524877 + ... + 7529459.

Almost surely, 2^34497010944 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 34497010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56700715344).

34497010944 is an abundant number, since it is smaller than the sum of its proper divisors (78904419744).

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

34497010944 is an equidigital number, since it uses as much as digits as its factorization.

34497010944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636 (or 4599 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 34497010944 in words is "thirty-four billion, four hundred ninety-seven million, ten thousand, nine hundred forty-four".