34140011100 has 216 divisors, whose sum is σ = 107667640080. Its totient is φ = 8348221440.

The previous prime is 34140011089. The next prime is 34140011137. The reversal of 34140011100 is 111004143.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34140011100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7957756 + ... + 7962044.

Almost surely, 2^34140011100 is an apocalyptic number.

34140011100 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 34140011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53833820040).

34140011100 is an abundant number, since it is smaller than the sum of its proper divisors (73527628980).

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

34140011100 is a wasteful number, since it uses less digits than its factorization.

34140011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 34140011100 its reverse (111004143), we get a palindrome (34251015243).

The spelling of 34140011100 in words is "thirty-four billion, one hundred forty million, eleven thousand, one hundred".