34960272296064 has 64 divisors (see below), whose sum is σ = 93029944184640. Its totient is φ = 11632502260736.

The previous prime is 34960272296051. The next prime is 34960272296069. The reversal of 34960272296064 is 46069227206943.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34960272295989 and 34960272296007.

It is not an unprimeable number, because it can be changed into a prime (34960272296069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81511764 + ... + 81939539.

It is an arithmetic number, because the mean of its divisors is an integer number (1453592877885).

Almost surely, 2^{34960272296064} is an apocalyptic number.

It is an amenable number.

34960272296064 is an abundant number, since it is smaller than the sum of its proper divisors (58069671888576).

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

34960272296064 is a wasteful number, since it uses less digits than its factorization.

34960272296064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163451877 (or 163451865 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 60.

The spelling of 34960272296064 in words is "thirty-four trillion, nine hundred sixty billion, two hundred seventy-two million, two hundred ninety-six thousand, sixty-four".