34131244050 has 192 divisors, whose sum is σ = 97683033600. Its totient is φ = 8752665600.

The previous prime is 34131244027. The next prime is 34131244099. The reversal of 34131244050 is 5044213143.

It is a happy number.

34131244050 is a `hidden beast` number, since 3 + 413 + 1 + 244 + 0 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 10608042 + ... + 10611258.

It is an arithmetic number, because the mean of its divisors is an integer number (508765800).

Almost surely, 2^34131244050 is an apocalyptic number.

34131244050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34131244050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48841516800).

34131244050 is an abundant number, since it is smaller than the sum of its proper divisors (63551789550).

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

34131244050 is a wasteful number, since it uses less digits than its factorization.

34131244050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34131244050 its reverse (5044213143), we get a palindrome (39175457193).

The spelling of 34131244050 in words is "thirty-four billion, one hundred thirty-one million, two hundred forty-four thousand, fifty".