34114412334000 has 1280 divisors, whose sum is σ = 124102685491200. Its totient is φ = 8021970432000.

The previous prime is 34114412333999. The next prime is 34114412334089. The reversal of 34114412334000 is 43321441143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37612361547 + ... + 37612362453.

It is an arithmetic number, because the mean of its divisors is an integer number (96955223040).

Almost surely, 2^{34114412334000} is an apocalyptic number.

34114412334000 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 34114412334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62051342745600).

34114412334000 is an abundant number, since it is smaller than the sum of its proper divisors (89988273157200).

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

34114412334000 is a wasteful number, since it uses less digits than its factorization.

34114412334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 34114412334000 its reverse (43321441143), we get a palindrome (34157733775143).

The spelling of 34114412334000 in words is "thirty-four trillion, one hundred fourteen billion, four hundred twelve million, three hundred thirty-four thousand".