343631440 has 80 divisors (see below), whose sum is σ = 838227600. Its totient is φ = 130830336.

The previous prime is 343631437. The next prime is 343631441. The reversal of 343631440 is 44136343.

It can be written as a sum of positive squares in 8 ways, for example, as 34715664 + 308915776 = 5892^2 + 17576^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 343631399 and 343631408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343631441) 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, 168346 + ... + 170374.

It is an arithmetic number, because the mean of its divisors is an integer number (10477845).

Almost surely, 2^343631440 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 343631440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419113800).

343631440 is an abundant number, since it is smaller than the sum of its proper divisors (494596160).

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

343631440 is a wasteful number, since it uses less digits than its factorization.

343631440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 343631440 is about 18537.2986165730. The cubic root of 343631440 is about 700.4292876981.

Adding to 343631440 its reverse (44136343), we get a palindrome (387767783).

The spelling of 343631440 in words is "three hundred forty-three million, six hundred thirty-one thousand, four hundred forty".