34050133140 has 192 divisors, whose sum is σ = 98647621632. Its totient is φ = 8772019200.

The previous prime is 34050133127. The next prime is 34050133163. The reversal of 34050133140 is 4133105043.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34050133140.

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, 69348295 + ... + 69348785.

It is an arithmetic number, because the mean of its divisors is an integer number (513789696).

Almost surely, 2^34050133140 is an apocalyptic number.

34050133140 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 34050133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49323810816).

34050133140 is an abundant number, since it is smaller than the sum of its proper divisors (64597488492).

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

34050133140 is a wasteful number, since it uses less digits than its factorization.

34050133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 34050133140 its reverse (4133105043), we get a palindrome (38183238183).

The spelling of 34050133140 in words is "thirty-four billion, fifty million, one hundred thirty-three thousand, one hundred forty".