31834368 has 108 divisors (see below), whose sum is σ = 94304028. Its totient is φ = 10321920.

The previous prime is 31834357. The next prime is 31834379. The reversal of 31834368 is 86343813.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31834357) and next prime (31834379).

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 27373824 = 2112^2 + 5232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94296 + ... + 94632.

Almost surely, 2^31834368 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 31834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47152014).

31834368 is an abundant number, since it is smaller than the sum of its proper divisors (62469660).

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

31834368 is a wasteful number, since it uses less digits than its factorization.

31834368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 383 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 31834368 is about 5642.1953174274. The cubic root of 31834368 is about 316.9315034098.

The spelling of 31834368 in words is "thirty-one million, eight hundred thirty-four thousand, three hundred sixty-eight".