343800072 has 192 divisors, whose sum is σ = 1212321600. Its totient is φ = 89268480.

The previous prime is 343800071. The next prime is 343800073. The reversal of 343800072 is 270008343.

It is an interprime number because it is at equal distance from previous prime (343800071) and next prime (343800073).

It is a super-3 number, since 3×343800072³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (343800071) 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, 114948 + ... + 117900.

It is an arithmetic number, because the mean of its divisors is an integer number (6314175).

Almost surely, 2^343800072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343800072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606160800).

343800072 is an abundant number, since it is smaller than the sum of its proper divisors (868521528).

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

343800072 is a wasteful number, since it uses less digits than its factorization.

343800072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2976 counting only the distinct ones).

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

The square root of 343800072 is about 18541.8465099892. The cubic root of 343800072 is about 700.5438440339.

The spelling of 343800072 in words is "three hundred forty-three million, eight hundred thousand, seventy-two".