34955348381184 has 480 divisors, whose sum is σ = 120754979186688. Its totient is φ = 8786420121600.

The previous prime is 34955348381167. The next prime is 34955348381227. The reversal of 34955348381184 is 48118384355943.

It is a super-3 number, since 3×34955348381184³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39897394 + ... + 40764110.

Almost surely, 2^{34955348381184} 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 34955348381184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60377489593344).

34955348381184 is an abundant number, since it is smaller than the sum of its proper divisors (85799630805504).

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

34955348381184 is a wasteful number, since it uses less digits than its factorization.

34955348381184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866798 (or 866771 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 66.

The spelling of 34955348381184 in words is "thirty-four trillion, nine hundred fifty-five billion, three hundred forty-eight million, three hundred eighty-one thousand, one hundred eighty-four".