343518480 has 120 divisors (see below), whose sum is σ = 1214416320. Its totient is φ = 86780160.

The previous prime is 343518467. The next prime is 343518517. The reversal of 343518480 is 84815343.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×343518480² = 236009892203020800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1125 + ... + 26235.

It is an arithmetic number, because the mean of its divisors is an integer number (10120136).

Almost surely, 2^343518480 is an apocalyptic number.

343518480 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 343518480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607208160).

343518480 is an abundant number, since it is smaller than the sum of its proper divisors (870897840).

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

343518480 is a wasteful number, since it uses less digits than its factorization.

343518480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25149 (or 25140 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 343518480 is about 18534.2515360076. The cubic root of 343518480 is about 700.3525299141.

The spelling of 343518480 in words is "three hundred forty-three million, five hundred eighteen thousand, four hundred eighty".