34939011744 has 480 divisors, whose sum is σ = 129090931200. Its totient is φ = 9211636224.

The previous prime is 34939011739. The next prime is 34939011773. The reversal of 34939011744 is 44711093943.

34939011744 is a `hidden beast` number, since 3 + 493 + 9 + 0 + 117 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34939011744.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11556217 + ... + 11559239.

It is an arithmetic number, because the mean of its divisors is an integer number (268939440).

Almost surely, 2^34939011744 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 34939011744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64545465600).

34939011744 is an abundant number, since it is smaller than the sum of its proper divisors (94151919456).

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

34939011744 is a wasteful number, since it uses less digits than its factorization.

34939011744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 34939011744 in words is "thirty-four billion, nine hundred thirty-nine million, eleven thousand, seven hundred forty-four".