31438032 has 80 divisors (see below), whose sum is σ = 87583680. Its totient is φ = 9680896.

The previous prime is 31438013. The next prime is 31438037. The reversal of 31438032 is 23083413.

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

It is a junction number, because it is equal to n+sod(n) for n = 31437993 and 31438011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31438037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47818 + ... + 48470.

It is an arithmetic number, because the mean of its divisors is an integer number (1094796).

Almost surely, 2^31438032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31438032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43791840).

31438032 is an abundant number, since it is smaller than the sum of its proper divisors (56145648).

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

31438032 is a wasteful number, since it uses less digits than its factorization.

31438032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 31438032 is about 5606.9628142159. The cubic root of 31438032 is about 315.6107475445.

It can be divided in two parts, 3143 and 8032, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 31438032 in words is "thirty-one million, four hundred thirty-eight thousand, thirty-two".