34673423159952 has 300 divisors, whose sum is σ = 106767468619636. Its totient is φ = 10861402337280.

The previous prime is 34673423159929. The next prime is 34673423159957. The reversal of 34673423159952 is 25995132437643.

It is a happy number.

34673423159952 is a `hidden beast` number, since 3 + 4 + 6 + 7 + 3 + 4 + 2 + 31 + 599 + 5 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3800020004496 + 30873403155456 = 1949364^2 + 5556384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34673423159952.

It is not an unprimeable number, because it can be changed into a prime (34673423159957) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 247503558 + ... + 247643610.

Almost surely, 2^{34673423159952} 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 34673423159952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53383734309818).

34673423159952 is an abundant number, since it is smaller than the sum of its proper divisors (72094045459684).

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

34673423159952 is a wasteful number, since it uses less digits than its factorization.

34673423159952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140768 (or 140736 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 63.

The spelling of 34673423159952 in words is "thirty-four trillion, six hundred seventy-three billion, four hundred twenty-three million, one hundred fifty-nine thousand, nine hundred fifty-two".