343042081875900 has 1296 divisors, whose sum is σ = 1329236180106240. Its totient is φ = 75744370944000.

The previous prime is 343042081875893. The next prime is 343042081875907. The reversal of 343042081875900 is 9578180240343.

It is a happy number.

343042081875900 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 42 + 0 + 8 + 1 + 8 + 7 + 590 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (343042081875893) and next prime (343042081875907).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343042081875907) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2926846699 + ... + 2926963901.

Almost surely, 2^{343042081875900} is an apocalyptic number.

343042081875900 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 343042081875900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664618090053120).

343042081875900 is an abundant number, since it is smaller than the sum of its proper divisors (986194098230340).

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

343042081875900 is a wasteful number, since it uses less digits than its factorization.

343042081875900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117313 (or 117272 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 343042081875900 in words is "three hundred forty-three trillion, forty-two billion, eighty-one million, eight hundred seventy-five thousand, nine hundred".