34011002135000 has 320 divisors, whose sum is σ = 87362611015680. Its totient is φ = 12306551040000.

The previous prime is 34011002134961. The next prime is 34011002135009. The reversal of 34011002135000 is 53120011043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34011002135009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11250743489 + ... + 11250746511.

It is an arithmetic number, because the mean of its divisors is an integer number (273008159424).

Almost surely, 2^{34011002135000} 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 34011002135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43681305507840).

34011002135000 is an abundant number, since it is smaller than the sum of its proper divisors (53351608880680).

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

34011002135000 is a wasteful number, since it uses less digits than its factorization.

34011002135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 34011002135000 its reverse (53120011043), we get a palindrome (34064122146043).

The spelling of 34011002135000 in words is "thirty-four trillion, eleven billion, two million, one hundred thirty-five thousand".