31842300 has 144 divisors (see below), whose sum is σ = 107493120. Its totient is φ = 7127040.

The previous prime is 31842263. The next prime is 31842313. The reversal of 31842300 is 324813.

It is a happy number.

It is a super-4 number, since 4×31842300⁴ (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123772 + ... + 124028.

It is an arithmetic number, because the mean of its divisors is an integer number (746480).

Almost surely, 2^31842300 is an apocalyptic number.

31842300 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 31842300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53746560).

31842300 is an abundant number, since it is smaller than the sum of its proper divisors (75650820).

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

31842300 is a wasteful number, since it uses less digits than its factorization.

31842300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 31842300 is about 5642.8981915324. The cubic root of 31842300 is about 316.9578239357.

The spelling of 31842300 in words is "thirty-one million, eight hundred forty-two thousand, three hundred".