34974895207488 has 112 divisors (see below), whose sum is σ = 95622247119360. Its totient is φ = 11282222415360.

The previous prime is 34974895207459. The next prime is 34974895207513. The reversal of 34974895207488 is 88470259847943.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2662558 + ... + 8777186.

Almost surely, 2^{34974895207488} 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 34974895207488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47811123559680).

34974895207488 is an abundant number, since it is smaller than the sum of its proper divisors (60647351911872).

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

34974895207488 is an frugal number, since it uses more digits than its factorization.

34974895207488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114737 (or 6114665 counting only the distinct ones).

The product of its (nonzero) digits is 3901685760, while the sum is 78.

The spelling of 34974895207488 in words is "thirty-four trillion, nine hundred seventy-four billion, eight hundred ninety-five million, two hundred seven thousand, four hundred eighty-eight".