343234348800 has 864 divisors, whose sum is σ = 1356618170880. Its totient is φ = 74765107200.

The previous prime is 343234348759. The next prime is 343234348801. The reversal of 343234348800 is 8843432343.

It is a super-2 number, since 2×343234348800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343234348801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 323500270 + ... + 323501330.

It is an arithmetic number, because the mean of its divisors is an integer number (1570159920).

Almost surely, 2^343234348800 is an apocalyptic number.

343234348800 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 343234348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678309085440).

343234348800 is an abundant number, since it is smaller than the sum of its proper divisors (1013383822080).

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

343234348800 is a wasteful number, since it uses less digits than its factorization.

343234348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 343234348800 in words is "three hundred forty-three billion, two hundred thirty-four million, three hundred forty-eight thousand, eight hundred".