343947856896 has 264 divisors, whose sum is σ = 1194761518080. Its totient is φ = 93098336256.

The previous prime is 343947856891. The next prime is 343947856921. The reversal of 343947856896 is 698658749343.

343947856896 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 478 + 5 + 68 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (343947856891) 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 23 ways as a sum of consecutive naturals, for example, 1085425 + ... + 1366031.

Almost surely, 2^343947856896 is an apocalyptic number.

343947856896 is a gapful number since it is divisible by the number (36) 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 343947856896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597380759040).

343947856896 is an abundant number, since it is smaller than the sum of its proper divisors (850813661184).

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

343947856896 is a wasteful number, since it uses less digits than its factorization.

343947856896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280659 (or 280638 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 343947856896 in words is "three hundred forty-three billion, nine hundred forty-seven million, eight hundred fifty-six thousand, eight hundred ninety-six".