34357864296864 has 192 divisors, whose sum is σ = 95599043527680. Its totient is φ = 10767163207680.

The previous prime is 34357864296863. The next prime is 34357864296887. The reversal of 34357864296864 is 46869246875343.

It is not an unprimeable number, because it can be changed into a prime (34357864296863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10767113509 + ... + 10767116699.

It is an arithmetic number, because the mean of its divisors is an integer number (497911685040).

Almost surely, 2^{34357864296864} is an apocalyptic number.

34357864296864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34357864296864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47799521763840).

34357864296864 is an abundant number, since it is smaller than the sum of its proper divisors (61241179230816).

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

34357864296864 is a wasteful number, since it uses less digits than its factorization.

34357864296864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8363 (or 8355 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 75.

The spelling of 34357864296864 in words is "thirty-four trillion, three hundred fifty-seven billion, eight hundred sixty-four million, two hundred ninety-six thousand, eight hundred sixty-four".