31434320000 has 80 divisors (see below), whose sum is σ = 78253974150. Its totient is φ = 12573696000.

The previous prime is 31434319957. The next prime is 31434320003. The reversal of 31434320000 is 2343413.

It can be written as a sum of positive squares in 5 ways, for example, as 5343025216 + 26091294784 = 73096^2 + 161528^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (31434320003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 116465 + ... + 276464.

Almost surely, 2^31434320000 is an apocalyptic number.

It is an amenable number.

31434320000 is an abundant number, since it is smaller than the sum of its proper divisors (46819654150).

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

31434320000 is an frugal number, since it uses more digits than its factorization.

31434320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392963 (or 392936 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 31434320000 its reverse (2343413), we get a palindrome (31436663413).

The spelling of 31434320000 in words is "thirty-one billion, four hundred thirty-four million, three hundred twenty thousand".