34544082996 has 162 divisors, whose sum is σ = 92721637190. Its totient is φ = 10842746112.

The previous prime is 34544082941. The next prime is 34544082997. The reversal of 34544082996 is 69928044543.

34544082996 is a `hidden beast` number, since 3 + 4 + 544 + 0 + 8 + 2 + 9 + 96 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3439822500 + 31104260496 = 58650^2 + 176364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34544082997) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 150847410 + ... + 150847638.

Almost surely, 2^34544082996 is an apocalyptic number.

34544082996 is a gapful number since it is divisible by the number (36) 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 34544082996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46360818595).

34544082996 is an abundant number, since it is smaller than the sum of its proper divisors (58177554194).

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

34544082996 is a wasteful number, since it uses less digits than its factorization.

34544082996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 34544082996 in words is "thirty-four billion, five hundred forty-four million, eighty-two thousand, nine hundred ninety-six".