343998640 has 80 divisors (see below), whose sum is σ = 822804480. Its totient is φ = 133687040.

The previous prime is 343998631. The next prime is 343998647. The reversal of 343998640 is 46899343.

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

It is not an unprimeable number, because it can be changed into a prime (343998647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717921 + ... + 718399.

It is an arithmetic number, because the mean of its divisors is an integer number (10285056).

Almost surely, 2^343998640 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 343998640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411402240).

343998640 is an abundant number, since it is smaller than the sum of its proper divisors (478805840).

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

343998640 is a wasteful number, since it uses less digits than its factorization.

343998640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The square root of 343998640 is about 18547.2003278123. The cubic root of 343998640 is about 700.6786886999.

The spelling of 343998640 in words is "three hundred forty-three million, nine hundred ninety-eight thousand, six hundred forty".