34694003871744 has 832 divisors, whose sum is σ = 114321427906560. Its totient is φ = 9135996272640.

The previous prime is 34694003871629. The next prime is 34694003871833. The reversal of 34694003871744 is 44717830049643.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40672923222 + ... + 40672924074.

Almost surely, 2^{34694003871744} 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 34694003871744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57160713953280).

34694003871744 is an abundant number, since it is smaller than the sum of its proper divisors (79627424034816).

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

34694003871744 is a wasteful number, since it uses less digits than its factorization.

34694003871744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 34694003871744 in words is "thirty-four trillion, six hundred ninety-four billion, three million, eight hundred seventy-one thousand, seven hundred forty-four".