31338000 has 120 divisors (see below), whose sum is σ = 109516056. Its totient is φ = 8352000.

The previous prime is 31337959. The next prime is 31338007. The reversal of 31338000 is 83313.

It can be written as a sum of positive squares in 4 ways, for example, as 9659664 + 21678336 = 3108^2 + 4656^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31338007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17130 + ... + 18870.

Almost surely, 2^31338000 is an apocalyptic number.

31338000 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 31338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54758028).

31338000 is an abundant number, since it is smaller than the sum of its proper divisors (78178056).

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

31338000 is a wasteful number, since it uses less digits than its factorization.

31338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 31338000 is about 5598.0353696632. The cubic root of 31338000 is about 315.2756468526.

The spelling of 31338000 in words is "thirty-one million, three hundred thirty-eight thousand".