343405246464 has 720 divisors, whose sum is σ = 1209939330600. Its totient is φ = 96743227392.

The previous prime is 343405246463. The next prime is 343405246487. The reversal of 343405246464 is 464642504343.

343405246464 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 0 + 524 + 64 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343405246463) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 674666242 + ... + 674666750.

Almost surely, 2^343405246464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343405246464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604969665300).

343405246464 is an abundant number, since it is smaller than the sum of its proper divisors (866534084136).

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

343405246464 is an equidigital number, since it uses as much as digits as its factorization.

343405246464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 45.

It can be divided in two parts, 34340 and 5246464, that added together give a square (5280804 = 2298²).

The spelling of 343405246464 in words is "three hundred forty-three billion, four hundred five million, two hundred forty-six thousand, four hundred sixty-four".