34996279296 has 192 divisors, whose sum is σ = 102348005760. Its totient is φ = 10546053120.

The previous prime is 34996279291. The next prime is 34996279313. The reversal of 34996279296 is 69297269943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34996279291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13042371 + ... + 13045053.

It is an arithmetic number, because the mean of its divisors is an integer number (533062530).

Almost surely, 2^34996279296 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 34996279296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51174002880).

34996279296 is an abundant number, since it is smaller than the sum of its proper divisors (67351726464).

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

34996279296 is a wasteful number, since it uses less digits than its factorization.

34996279296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2892 counting only the distinct ones).

The product of its digits is 79361856, while the sum is 66.

The spelling of 34996279296 in words is "thirty-four billion, nine hundred ninety-six million, two hundred seventy-nine thousand, two hundred ninety-six".