343848960 has 576 divisors, whose sum is σ = 1502504640. Its totient is φ = 70778880.

The previous prime is 343848959. The next prime is 343848961. The reversal of 343848960 is 69848343.

It is an interprime number because it is at equal distance from previous prime (343848959) and next prime (343848961).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343848961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8386540 + ... + 8386580.

It is an arithmetic number, because the mean of its divisors is an integer number (2608515).

Almost surely, 2^343848960 is an apocalyptic number.

343848960 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 343848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751252320).

343848960 is an abundant number, since it is smaller than the sum of its proper divisors (1158655680).

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

343848960 is a wasteful number, since it uses less digits than its factorization.

343848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 343848960 is about 18543.1647784298. The cubic root of 343848960 is about 700.5770479868.

The spelling of 343848960 in words is "three hundred forty-three million, eight hundred forty-eight thousand, nine hundred sixty".