34543272960 has 880 divisors, whose sum is σ = 144284612736. Its totient is φ = 7739670528.

The previous prime is 34543272931. The next prime is 34543272991. The reversal of 34543272960 is 6927234543.

34543272960 is a `hidden beast` number, since 3 + 4 + 543 + 27 + 29 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 211921839 + ... + 211922001.

Almost surely, 2^34543272960 is an apocalyptic number.

34543272960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34543272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72142306368).

34543272960 is an abundant number, since it is smaller than the sum of its proper divisors (109741339776).

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

34543272960 is a wasteful number, since it uses less digits than its factorization.

34543272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 34543272960 in words is "thirty-four billion, five hundred forty-three million, two hundred seventy-two thousand, nine hundred sixty".