343224214272 has 288 divisors, whose sum is σ = 1024956441600. Its totient is φ = 113288896512.

The previous prime is 343224214241. The next prime is 343224214301. The reversal of 343224214272 is 272412422343.

343224214272 is a `hidden beast` number, since 3 + 4 + 3 + 224 + 2 + 1 + 427 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×343224214272² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 472109973 + ... + 472110699.

Almost surely, 2^343224214272 is an apocalyptic number.

343224214272 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 343224214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512478220800).

343224214272 is an abundant number, since it is smaller than the sum of its proper divisors (681732227328).

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

343224214272 is a wasteful number, since it uses less digits than its factorization.

343224214272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1308 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The spelling of 343224214272 in words is "three hundred forty-three billion, two hundred twenty-four million, two hundred fourteen thousand, two hundred seventy-two".