34960319072 has 48 divisors (see below), whose sum is σ = 80334374400. Its totient is φ = 14664202368.

The previous prime is 34960319071. The next prime is 34960319089. The reversal of 34960319072 is 27091306943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34960319071) 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, 1649822 + ... + 1670877.

It is an arithmetic number, because the mean of its divisors is an integer number (1673632800).

Almost surely, 2^34960319072 is an apocalyptic number.

34960319072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34960319072 is an abundant number, since it is smaller than the sum of its proper divisors (45374055328).

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

34960319072 is a wasteful number, since it uses less digits than its factorization.

34960319072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320763 (or 3320755 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 44.

The spelling of 34960319072 in words is "thirty-four billion, nine hundred sixty million, three hundred nineteen thousand, seventy-two".