31438080 has 108 divisors (see below), whose sum is σ = 108812340. Its totient is φ = 8380416.

The previous prime is 31438073. The next prime is 31438081. The reversal of 31438080 is 8083413.

It can be written as a sum of positive squares in 2 ways, for example, as 22581504 + 8856576 = 4752^2 + 2976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31438081) 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 11 ways as a sum of consecutive naturals, for example, 10156 + ... + 12884.

Almost surely, 2^31438080 is an apocalyptic number.

31438080 is a gapful number since it is divisible by the number (30) 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 31438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54406170).

31438080 is an abundant number, since it is smaller than the sum of its proper divisors (77374260).

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

31438080 is a wasteful number, since it uses less digits than its factorization.

31438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 31438080 is about 5606.9670946065. The cubic root of 31438080 is about 315.6109081706.

The spelling of 31438080 in words is "thirty-one million, four hundred thirty-eight thousand, eighty".