34163204544 has 336 divisors, whose sum is σ = 120868135200. Its totient is φ = 9423654912.

The previous prime is 34163204521. The next prime is 34163204591. The reversal of 34163204544 is 44540236143.

34163204544 is a `hidden beast` number, since 34 + 1 + 63 + 20 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34163204499 and 34163204508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2448532 + ... + 2462444.

Almost surely, 2^34163204544 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 34163204544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60434067600).

34163204544 is an abundant number, since it is smaller than the sum of its proper divisors (86704930656).

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

34163204544 is a wasteful number, since it uses less digits than its factorization.

34163204544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13977 (or 13954 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34163204544 in words is "thirty-four billion, one hundred sixty-three million, two hundred four thousand, five hundred forty-four".