34959452556 has 192 divisors, whose sum is σ = 99867156480. Its totient is φ = 9303275520.

The previous prime is 34959452543. The next prime is 34959452597. The reversal of 34959452556 is 65525495943.

34959452556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×34959452556³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34959452496 and 34959452505.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34510306 + ... + 34511318.

It is an arithmetic number, because the mean of its divisors is an integer number (520141440).

Almost surely, 2^34959452556 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 34959452556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49933578240).

34959452556 is an abundant number, since it is smaller than the sum of its proper divisors (64907703924).

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

34959452556 is a wasteful number, since it uses less digits than its factorization.

34959452556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1542 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 57.

The spelling of 34959452556 in words is "thirty-four billion, nine hundred fifty-nine million, four hundred fifty-two thousand, five hundred fifty-six".