343640130855840 has 2304 divisors, whose sum is σ = 1546274644992000. Its totient is φ = 69736594636800.

The previous prime is 343640130855821. The next prime is 343640130855877. The reversal of 343640130855840 is 48558031046343.

343640130855840 is a `hidden beast` number, since 3 + 4 + 3 + 6 + 40 + 1 + 3 + 0 + 8 + 558 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14876828611 + ... + 14876851709.

It is an arithmetic number, because the mean of its divisors is an integer number (671126148000).

Almost surely, 2^{343640130855840} is an apocalyptic number.

343640130855840 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 343640130855840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773137322496000).

343640130855840 is an abundant number, since it is smaller than the sum of its proper divisors (1202634514136160).

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

343640130855840 is a wasteful number, since it uses less digits than its factorization.

343640130855840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23268 (or 23241 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 343640130855840 in words is "three hundred forty-three trillion, six hundred forty billion, one hundred thirty million, eight hundred fifty-five thousand, eight hundred forty".