34743349257792 has 168 divisors, whose sum is σ = 106087190066496. Its totient is φ = 9830291733504.

The previous prime is 34743349257787. The next prime is 34743349257833. The reversal of 34743349257792 is 29775294334743.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 13040158 + ... + 15476834.

Almost surely, 2^{34743349257792} is an apocalyptic number.

34743349257792 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 34743349257792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53043595033248).

34743349257792 is an abundant number, since it is smaller than the sum of its proper divisors (71343840808704).

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

34743349257792 is a wasteful number, since it uses less digits than its factorization.

34743349257792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436905 (or 2436792 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 69.

The spelling of 34743349257792 in words is "thirty-four trillion, seven hundred forty-three billion, three hundred forty-nine million, two hundred fifty-seven thousand, seven hundred ninety-two".