343412052032 has 224 divisors, whose sum is σ = 857037127680. Its totient is φ = 133119866880.

The previous prime is 343412051981. The next prime is 343412052059. The reversal of 343412052032 is 230250214343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×343412052032³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343412051986 and 343412052004.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 132539057 + ... + 132541647.

Almost surely, 2^343412052032 is an apocalyptic number.

343412052032 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 343412052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428518563840).

343412052032 is an abundant number, since it is smaller than the sum of its proper divisors (513625075648).

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

343412052032 is a wasteful number, since it uses less digits than its factorization.

343412052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 343412052032 its reverse (230250214343), we get a palindrome (573662266375).

The spelling of 343412052032 in words is "three hundred forty-three billion, four hundred twelve million, fifty-two thousand, thirty-two".