34086096048 has 160 divisors (see below), whose sum is σ = 93325026816. Its totient is φ = 10698614784.

The previous prime is 34086095987. The next prime is 34086096139. The reversal of 34086096048 is 84069068043.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 34086095988 and 34086096006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36377436 + ... + 36378372.

Almost surely, 2^34086096048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34086096048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46662513408).

34086096048 is an abundant number, since it is smaller than the sum of its proper divisors (59238930768).

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

34086096048 is a wasteful number, since it uses less digits than its factorization.

34086096048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 34086096048 in words is "thirty-four billion, eighty-six million, ninety-six thousand, forty-eight".