31434134000 has 80 divisors (see below), whose sum is σ = 76077514656. Its totient is φ = 12562112000.

The previous prime is 31434133999. The next prime is 31434134003. The reversal of 31434134000 is 43143413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31434134003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2367380 + ... + 2380620.

Almost surely, 2^31434134000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31434134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38038757328).

31434134000 is an abundant number, since it is smaller than the sum of its proper divisors (44643380656).

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

31434134000 is a wasteful number, since it uses less digits than its factorization.

31434134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14451 (or 14435 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 31434134000 its reverse (43143413), we get a palindrome (31477277413).

It can be divided in two parts, 3143413 and 4000, that added together give a palindrome (3147413).

The spelling of 31434134000 in words is "thirty-one billion, four hundred thirty-four million, one hundred thirty-four thousand".