343516440 has 64 divisors (see below), whose sum is σ = 1035509760. Its totient is φ = 91163520.

The previous prime is 343516427. The next prime is 343516451. The reversal of 343516440 is 44615343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 343516398 and 343516407.

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 15 ways as a sum of consecutive naturals, for example, 18537 + ... + 32103.

It is an arithmetic number, because the mean of its divisors is an integer number (16179840).

Almost surely, 2^343516440 is an apocalyptic number.

343516440 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 343516440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517754880).

343516440 is an abundant number, since it is smaller than the sum of its proper divisors (691993320).

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

343516440 is a wasteful number, since it uses less digits than its factorization.

343516440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13792 (or 13788 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 343516440 is about 18534.1965026812. The cubic root of 343516440 is about 700.3511435530.

The spelling of 343516440 in words is "three hundred forty-three million, five hundred sixteen thousand, four hundred forty".