343966411152 has 360 divisors, whose sum is σ = 1219013150784. Its totient is φ = 88604845056.

The previous prime is 343966411121. The next prime is 343966411181. The reversal of 343966411152 is 251114669343.

343966411152 is a `hidden beast` number, since 3 + 439 + 6 + 64 + 1 + 1 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 343966411098 and 343966411107.

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 71 ways as a sum of consecutive naturals, for example, 7301658 + ... + 7348614.

Almost surely, 2^343966411152 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 343966411152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609506575392).

343966411152 is an abundant number, since it is smaller than the sum of its proper divisors (875046739632).

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

343966411152 is a wasteful number, since it uses less digits than its factorization.

343966411152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47047 (or 47025 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 343966411152 in words is "three hundred forty-three billion, nine hundred sixty-six million, four hundred eleven thousand, one hundred fifty-two".