343931323760640 has 7200 divisors, whose sum is σ = 1691722374338304. Its totient is φ = 65922882600960.

The previous prime is 343931323760623. The next prime is 343931323760669. The reversal of 343931323760640 is 46067323139343.

343931323760640 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 3 + 1 + 3 + 23 + 7 + 606 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3043640033224 + ... + 3043640033336.

Almost surely, 2^{343931323760640} is an apocalyptic number.

343931323760640 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 343931323760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845861187169152).

343931323760640 is an abundant number, since it is smaller than the sum of its proper divisors (1347791050577664).

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

343931323760640 is a wasteful number, since it uses less digits than its factorization.

343931323760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 54.

Adding to 343931323760640 its reverse (46067323139343), we get a palindrome (389998646899983).

The spelling of 343931323760640 in words is "three hundred forty-three trillion, nine hundred thirty-one billion, three hundred twenty-three million, seven hundred sixty thousand, six hundred forty".