34027110000 has 600 divisors, whose sum is σ = 129724474880. Its totient is φ = 8273664000.

The previous prime is 34027109999. The next prime is 34027110011. The reversal of 34027110000 is 1172043.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 148589886 + ... + 148590114.

Almost surely, 2^34027110000 is an apocalyptic number.

34027110000 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 34027110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64862237440).

34027110000 is an abundant number, since it is smaller than the sum of its proper divisors (95697364880).

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

34027110000 is a wasteful number, since it uses less digits than its factorization.

34027110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 34027110000 its reverse (1172043), we get a palindrome (34028282043).

The spelling of 34027110000 in words is "thirty-four billion, twenty-seven million, one hundred ten thousand".