34127631300 has 144 divisors (see below), whose sum is σ = 113141508480. Its totient is φ = 7780362240.

The previous prime is 34127631283. The next prime is 34127631301. The reversal of 34127631300 is 313672143.

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

It is not an unprimeable number, because it can be changed into a prime (34127631301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796012 + ... + 837788.

It is an arithmetic number, because the mean of its divisors is an integer number (785704920).

Almost surely, 2^34127631300 is an apocalyptic number.

34127631300 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 34127631300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56570754240).

34127631300 is an abundant number, since it is smaller than the sum of its proper divisors (79013877180).

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

34127631300 is a wasteful number, since it uses less digits than its factorization.

34127631300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42190 (or 42183 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The spelling of 34127631300 in words is "thirty-four billion, one hundred twenty-seven million, six hundred thirty-one thousand, three hundred".