31434124320 has 72 divisors (see below), whose sum is σ = 107268954156. Its totient is φ = 8382432768.

The previous prime is 31434124313. The next prime is 31434124327. The reversal of 31434124320 is 2342143413.

31434124320 is a `hidden beast` number, since 314 + 3 + 4 + 1 + 24 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (31434124313) and next prime (31434124327).

It can be written as a sum of positive squares in 2 ways, for example, as 30355395984 + 1078728336 = 174228^2 + 32844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (31434124327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10913187 + ... + 10916066.

Almost surely, 2^31434124320 is an apocalyptic number.

31434124320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31434124320 is an abundant number, since it is smaller than the sum of its proper divisors (75834829836).

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

31434124320 is a wasteful number, since it uses less digits than its factorization.

31434124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21829274 (or 21829263 counting only the distinct ones).

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

Adding to 31434124320 its reverse (2342143413), we get a palindrome (33776267733).

The spelling of 31434124320 in words is "thirty-one billion, four hundred thirty-four million, one hundred twenty-four thousand, three hundred twenty".