343252643040 has 144 divisors (see below), whose sum is σ = 1171554169968. Its totient is φ = 91518056448.

The previous prime is 343252643009. The next prime is 343252643047. The reversal of 343252643040 is 40346252343.

343252643040 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 5 + 2 + 643 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 343252642986 and 343252643004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343252643047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9856699 + ... + 9891461.

It is an arithmetic number, because the mean of its divisors is an integer number (8135792847).

Almost surely, 2^343252643040 is an apocalyptic number.

343252643040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343252643040 is an abundant number, since it is smaller than the sum of its proper divisors (828301526928).

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

343252643040 is a wasteful number, since it uses less digits than its factorization.

343252643040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41641 (or 41630 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 343252643040 its reverse (40346252343), we get a palindrome (383598895383).

It can be divided in two parts, 3432526 and 43040, that added together give a triangular number (3475566 = T₂₆₃₆).

The spelling of 343252643040 in words is "three hundred forty-three billion, two hundred fifty-two million, six hundred forty-three thousand, forty".