34122404340432 has 480 divisors, whose sum is σ = 100344449622560. Its totient is φ = 10813502177280.

The previous prime is 34122404340419. The next prime is 34122404340443. The reversal of 34122404340432 is 23404340422143.

34122404340432 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 240 + 4 + 3 + 404 + 3 + 2 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 9759650913936 + 24362753426496 = 3124044^2 + 4935864^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48127509294 + ... + 48127510002.

Almost surely, 2^{34122404340432} 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 34122404340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50172224811280).

34122404340432 is an abundant number, since it is smaller than the sum of its proper divisors (66222045282128).

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

34122404340432 is a wasteful number, since it uses less digits than its factorization.

34122404340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 34122404340432 its reverse (23404340422143), we get a palindrome (57526744762575).

The spelling of 34122404340432 in words is "thirty-four trillion, one hundred twenty-two billion, four hundred four million, three hundred forty thousand, four hundred thirty-two".