343226885760 has 768 divisors, whose sum is σ = 1347220667520. Its totient is φ = 82811289600.

The previous prime is 343226885723. The next prime is 343226885761. The reversal of 343226885760 is 67588622343.

343226885760 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 2 + 68 + 8 + 576 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 343226885697 and 343226885706.

It is not an unprimeable number, because it can be changed into a prime (343226885761) 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, 535455040 + ... + 535455680.

Almost surely, 2^343226885760 is an apocalyptic number.

343226885760 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 343226885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673610333760).

343226885760 is an abundant number, since it is smaller than the sum of its proper divisors (1003993781760).

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

343226885760 is a wasteful number, since it uses less digits than its factorization.

343226885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 343226885760 in words is "three hundred forty-three billion, two hundred twenty-six million, eight hundred eighty-five thousand, seven hundred sixty".