34961080272 has 80 divisors (see below), whose sum is σ = 92121478848. Its totient is φ = 11421230080.

The previous prime is 34961080267. The next prime is 34961080289. The reversal of 34961080272 is 27208016943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2463148 + ... + 2477300.

Almost surely, 2^34961080272 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 34961080272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46060739424).

34961080272 is an abundant number, since it is smaller than the sum of its proper divisors (57160398576).

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

34961080272 is a wasteful number, since it uses less digits than its factorization.

34961080272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15188 (or 15182 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 34961080272 in words is "thirty-four billion, nine hundred sixty-one million, eighty thousand, two hundred seventy-two".