343196864640 has 384 divisors, whose sum is σ = 1361239776000. Its totient is φ = 78048976896.

The previous prime is 343196864629. The next prime is 343196864641. The reversal of 343196864640 is 46468691343.

It is a happy number.

343196864640 is a `hidden beast` number, since 3 + 431 + 96 + 8 + 64 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (343196864641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8002294 + ... + 8045066.

It is an arithmetic number, because the mean of its divisors is an integer number (3544895250).

Almost surely, 2^343196864640 is an apocalyptic number.

343196864640 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 343196864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680619888000).

343196864640 is an abundant number, since it is smaller than the sum of its proper divisors (1018042911360).

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

343196864640 is a wasteful number, since it uses less digits than its factorization.

343196864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43004 (or 42989 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 343196864640 in words is "three hundred forty-three billion, one hundred ninety-six million, eight hundred sixty-four thousand, six hundred forty".