343955040 has 192 divisors, whose sum is σ = 1273128192. Its totient is φ = 76953600.

The previous prime is 343955021. The next prime is 343955047. The reversal of 343955040 is 40559343.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 343954992 and 343955010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343955047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66135 + ... + 71145.

It is an arithmetic number, because the mean of its divisors is an integer number (6630876).

Almost surely, 2^343955040 is an apocalyptic number.

343955040 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 343955040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636564096).

343955040 is an abundant number, since it is smaller than the sum of its proper divisors (929173152).

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

343955040 is a wasteful number, since it uses less digits than its factorization.

343955040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 343955040 is about 18546.0249110153. The cubic root of 343955040 is about 700.6490850154.

The spelling of 343955040 in words is "three hundred forty-three million, nine hundred fifty-five thousand, forty".