31434360 has 128 divisors (see below), whose sum is σ = 105235200. Its totient is φ = 7464960.

The previous prime is 31434329. The next prime is 31434371. The reversal of 31434360 is 6343413.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31434360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38355 + ... + 39165.

It is an arithmetic number, because the mean of its divisors is an integer number (822150).

Almost surely, 2^31434360 is an apocalyptic number.

31434360 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 31434360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52617600).

31434360 is an abundant number, since it is smaller than the sum of its proper divisors (73800840).

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

31434360 is a wasteful number, since it uses less digits than its factorization.

31434360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 31434360 is about 5606.6353546490. The cubic root of 31434360 is about 315.5984591609.

Adding to 31434360 its reverse (6343413), we get a palindrome (37777773).

It can be divided in two parts, 3143 and 4360, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 31434360 in words is "thirty-one million, four hundred thirty-four thousand, three hundred sixty".