343872 has 56 divisors (see below), whose sum is σ = 1016000. Its totient is φ = 114048.

The previous prime is 343831. The next prime is 343891. The reversal of 343872 is 278343.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1629 + ... + 1827.

2³⁴³⁸⁷² is an apocalyptic number.

343872 is a gapful number since it is divisible by the number (32) 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 343872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508000).

343872 is an abundant number, since it is smaller than the sum of its proper divisors (672128).

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

343872 is a wasteful number, since it uses less digits than its factorization.

343872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 343872 is about 586.4060026978. The cubic root of 343872 is about 70.0592695298.

The spelling of 343872 in words is "three hundred forty-three thousand, eight hundred seventy-two".