343215132000 has 384 divisors, whose sum is σ = 1216718350848. Its totient is φ = 84075264000.

The previous prime is 343215131969. The next prime is 343215132017. The reversal of 343215132000 is 231512343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32910787 + ... + 32921213.

It is an arithmetic number, because the mean of its divisors is an integer number (3168537372).

Almost surely, 2^343215132000 is an apocalyptic number.

343215132000 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 343215132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608359175424).

343215132000 is an abundant number, since it is smaller than the sum of its proper divisors (873503218848).

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

343215132000 is a wasteful number, since it uses less digits than its factorization.

343215132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10679 (or 10661 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 343215132000 its reverse (231512343), we get a palindrome (343446644343).

The spelling of 343215132000 in words is "three hundred forty-three billion, two hundred fifteen million, one hundred thirty-two thousand".