31434434010 has 144 divisors (see below), whose sum is σ = 94395839616. Its totient is φ = 7109600256.

The previous prime is 31434433993. The next prime is 31434434011. The reversal of 31434434010 is 1043443413.

31434434010 is a `hidden beast` number, since 314 + 3 + 4 + 4 + 340 + 1 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (31434434011) 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 71 ways as a sum of consecutive naturals, for example, 5925019 + ... + 5930321.

It is an arithmetic number, because the mean of its divisors is an integer number (655526664).

Almost surely, 2^31434434010 is an apocalyptic number.

31434434010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31434434010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47197919808).

31434434010 is an abundant number, since it is smaller than the sum of its proper divisors (62961405606).

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

31434434010 is a wasteful number, since it uses less digits than its factorization.

31434434010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5517 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 31434434010 its reverse (1043443413), we get a palindrome (32477877423).

The spelling of 31434434010 in words is "thirty-one billion, four hundred thirty-four million, four hundred thirty-four thousand, ten".