343394878464 has 1232 divisors, whose sum is σ = 1237176668160. Its totient is φ = 94058496000.

The previous prime is 343394878459. The next prime is 343394878493. The reversal of 343394878464 is 464878493343.

343394878464 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 94 + 87 + 8 + 464 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4836547549 + ... + 4836547619.

Almost surely, 2^343394878464 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 343394878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618588334080).

343394878464 is an abundant number, since it is smaller than the sum of its proper divisors (893781789696).

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

343394878464 is a wasteful number, since it uses less digits than its factorization.

343394878464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 63.

The spelling of 343394878464 in words is "three hundred forty-three billion, three hundred ninety-four million, eight hundred seventy-eight thousand, four hundred sixty-four".