34111332003000 has 128 divisors (see below), whose sum is σ = 121631263902720. Its totient is φ = 7796875881600.

The previous prime is 34111332002983. The next prime is 34111332003011. The reversal of 34111332003000 is 30023311143.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 812153572 + ... + 812195571.

It is an arithmetic number, because the mean of its divisors is an integer number (950244249240).

Almost surely, 2^{34111332003000} is an apocalyptic number.

34111332003000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34111332003000 is an abundant number, since it is smaller than the sum of its proper divisors (87519931899720).

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

34111332003000 is a wasteful number, since it uses less digits than its factorization.

34111332003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624349174 (or 1624349160 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 34111332003000 its reverse (30023311143), we get a palindrome (34141355314143).

The spelling of 34111332003000 in words is "thirty-four trillion, one hundred eleven billion, three hundred thirty-two million, three thousand".