343249920 has 352 divisors, whose sum is σ = 1320560640. Its totient is φ = 84049920.

The previous prime is 343249919. The next prime is 343249931. The reversal of 343249920 is 29942343.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1797025 + ... + 1797215.

Almost surely, 2^343249920 is an apocalyptic number.

343249920 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 343249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660280320).

343249920 is an abundant number, since it is smaller than the sum of its proper divisors (977310720).

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

343249920 is a wasteful number, since it uses less digits than its factorization.

343249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 343249920 is about 18527.0051546385. The cubic root of 343249920 is about 700.1699723298.

It can be divided in two parts, 34324 and 9920, that added together give a palindrome (44244).

The spelling of 343249920 in words is "three hundred forty-three million, two hundred forty-nine thousand, nine hundred twenty".