343172880000 has 1440 divisors, whose sum is σ = 1391636986740. Its totient is φ = 80830464000.

The previous prime is 343172879981. The next prime is 343172880041. The reversal of 343172880000 is 88271343.

It can be written as a sum of positive squares in 10 ways, for example, as 161188416 + 343011691584 = 12696^2 + 585672^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6474959974 + ... + 6474960026.

Almost surely, 2^343172880000 is an apocalyptic number.

343172880000 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 343172880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695818493370).

343172880000 is an abundant number, since it is smaller than the sum of its proper divisors (1048464106740).

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

343172880000 is a wasteful number, since it uses less digits than its factorization.

343172880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 343172880000 in words is "three hundred forty-three billion, one hundred seventy-two million, eight hundred eighty thousand".