34242342552 has 192 divisors, whose sum is σ = 102958128000. Its totient is φ = 10194554880.

The previous prime is 34242342539. The next prime is 34242342587. The reversal of 34242342552 is 25524324243.

34242342552 is a `hidden beast` number, since 3 + 42 + 4 + 23 + 42 + 552 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12685699 + ... + 12688397.

It is an arithmetic number, because the mean of its divisors is an integer number (536240250).

Almost surely, 2^34242342552 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 34242342552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51479064000).

34242342552 is an abundant number, since it is smaller than the sum of its proper divisors (68715785448).

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

34242342552 is a wasteful number, since it uses less digits than its factorization.

34242342552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2991 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

Adding to 34242342552 its reverse (25524324243), we get a palindrome (59766666795).

The spelling of 34242342552 in words is "thirty-four billion, two hundred forty-two million, three hundred forty-two thousand, five hundred fifty-two".