343485888768 has 864 divisors, whose sum is σ = 1221376665600. Its totient is φ = 95103590400.

The previous prime is 343485888727. The next prime is 343485888769. The reversal of 343485888768 is 867888584343.

343485888768 is a `hidden beast` number, since 3 + 4 + 3 + 485 + 8 + 8 + 87 + 68 = 666.

343485888768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 343485888696 and 343485888705.

It is not an unprimeable number, because it can be changed into a prime (343485888769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377042233 + ... + 377043143.

It is an arithmetic number, because the mean of its divisors is an integer number (1413630400).

Almost surely, 2^343485888768 is an apocalyptic number.

343485888768 is a gapful number since it is divisible by the number (38) 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 343485888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610688332800).

343485888768 is an abundant number, since it is smaller than the sum of its proper divisors (877890776832).

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

343485888768 is a wasteful number, since it uses less digits than its factorization.

343485888768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 975 counting only the distinct ones).

The product of its digits is 990904320, while the sum is 72.

The spelling of 343485888768 in words is "three hundred forty-three billion, four hundred eighty-five million, eight hundred eighty-eight thousand, seven hundred sixty-eight".