343095020352 has 448 divisors, whose sum is σ = 1181297510400. Its totient is φ = 96823143936.

The previous prime is 343095020351. The next prime is 343095020371. The reversal of 343095020352 is 253020590343.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343095020351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81319299 + ... + 81323517.

It is an arithmetic number, because the mean of its divisors is an integer number (2636824800).

Almost surely, 2^343095020352 is an apocalyptic number.

343095020352 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 343095020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590648755200).

343095020352 is an abundant number, since it is smaller than the sum of its proper divisors (838202490048).

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

343095020352 is an frugal number, since it uses more digits than its factorization.

343095020352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 343095020352 in words is "three hundred forty-three billion, ninety-five million, twenty thousand, three hundred fifty-two".