34506342144 has 432 divisors, whose sum is σ = 111102421248. Its totient is φ = 10642046976.

The previous prime is 34506342133. The next prime is 34506342173. The reversal of 34506342144 is 44124360543.

34506342144 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 634 + 2 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 34506342099 and 34506342108.

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, 70854669 + ... + 70855155.

Almost surely, 2^34506342144 is an apocalyptic number.

34506342144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34506342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55551210624).

34506342144 is an abundant number, since it is smaller than the sum of its proper divisors (76596079104).

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

34506342144 is an equidigital number, since it uses as much as digits as its factorization.

34506342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 576 counting only the distinct ones).

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

The spelling of 34506342144 in words is "thirty-four billion, five hundred six million, three hundred forty-two thousand, one hundred forty-four".