34431410112 has 112 divisors (see below), whose sum is σ = 99554458752. Its totient is φ = 10415610880.

The previous prime is 34431410107. The next prime is 34431410137. The reversal of 34431410112 is 21101413443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1225858 + ... + 1253630.

It is an arithmetic number, because the mean of its divisors is an integer number (888879096).

Almost surely, 2^34431410112 is an apocalyptic number.

34431410112 is a gapful number since it is divisible by the number (32) 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 34431410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49777229376).

34431410112 is an abundant number, since it is smaller than the sum of its proper divisors (65123048640).

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

34431410112 is a wasteful number, since it uses less digits than its factorization.

34431410112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28386 (or 28376 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 34431410112 its reverse (21101413443), we get a palindrome (55532823555).

The spelling of 34431410112 in words is "thirty-four billion, four hundred thirty-one million, four hundred ten thousand, one hundred twelve".