34375715712 has 160 divisors (see below), whose sum is σ = 110171356680. Its totient is φ = 10577101824.

The previous prime is 34375715711. The next prime is 34375715713. The reversal of 34375715712 is 21751757343.

34375715712 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 5 + 71 + 571 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34375715711) and next prime (34375715713).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34375715711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7263 + ... + 262305.

Almost surely, 2^34375715712 is an apocalyptic number.

34375715712 is a gapful number since it is divisible by the number (32) 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 34375715712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55085678340).

34375715712 is an abundant number, since it is smaller than the sum of its proper divisors (75795640968).

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

34375715712 is a wasteful number, since it uses less digits than its factorization.

34375715712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255082 (or 255061 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The spelling of 34375715712 in words is "thirty-four billion, three hundred seventy-five million, seven hundred fifteen thousand, seven hundred twelve".