34842152052 has 96 divisors (see below), whose sum is σ = 96131629440. Its totient is φ = 10875271680.

The previous prime is 34842152029. The next prime is 34842152087. The reversal of 34842152052 is 25025124843.

34842152052 is a `hidden beast` number, since 3 + 4 + 84 + 2 + 1 + 520 + 52 = 666.

It is a super-2 number, since 2×34842152052² (a number of 22 digits) contains 22 as substring.

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 = 34842151998 and 34842152016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313527 + ... + 409857.

It is an arithmetic number, because the mean of its divisors is an integer number (1001371140).

Almost surely, 2^34842152052 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 34842152052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48065814720).

34842152052 is an abundant number, since it is smaller than the sum of its proper divisors (61289477388).

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

34842152052 is a wasteful number, since it uses less digits than its factorization.

34842152052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96558 (or 96550 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 34842152052 its reverse (25025124843), we get a palindrome (59867276895).

The spelling of 34842152052 in words is "thirty-four billion, eight hundred forty-two million, one hundred fifty-two thousand, fifty-two".