34110202140 has 192 divisors, whose sum is σ = 121602539520. Its totient is φ = 7775930880.

The previous prime is 34110202117. The next prime is 34110202151. The reversal of 34110202140 is 4120201143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1435960 + ... + 1459520.

It is an arithmetic number, because the mean of its divisors is an integer number (633346560).

Almost surely, 2^34110202140 is an apocalyptic number.

34110202140 is a gapful number since it is divisible by the number (30) 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 34110202140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60801269760).

34110202140 is an abundant number, since it is smaller than the sum of its proper divisors (87492337380).

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

34110202140 is a wasteful number, since it uses less digits than its factorization.

34110202140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23969 (or 23961 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 34110202140 its reverse (4120201143), we get a palindrome (38230403283).

The spelling of 34110202140 in words is "thirty-four billion, one hundred ten million, two hundred two thousand, one hundred forty".