343140611040 has 576 divisors, whose sum is σ = 1300079289600. Its totient is φ = 85208039424.

The previous prime is 343140611017. The next prime is 343140611117. The reversal of 343140611040 is 40116041343.

343140611040 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 4 + 0 + 611 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 343140610995 and 343140611013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43580544 + ... + 43588416.

It is an arithmetic number, because the mean of its divisors is an integer number (2257082100).

Almost surely, 2^343140611040 is an apocalyptic number.

343140611040 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 343140611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650039644800).

343140611040 is an abundant number, since it is smaller than the sum of its proper divisors (956938678560).

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

343140611040 is a wasteful number, since it uses less digits than its factorization.

343140611040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7981 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 343140611040 its reverse (40116041343), we get a palindrome (383256652383).

The spelling of 343140611040 in words is "three hundred forty-three billion, one hundred forty million, six hundred eleven thousand, forty".