343965346560 has 1440 divisors, whose sum is σ = 1443355163712. Its totient is φ = 77290536960.

The previous prime is 343965346559. The next prime is 343965346579. The reversal of 343965346560 is 65643569343.

343965346560 is a `hidden beast` number, since 3 + 4 + 39 + 6 + 5 + 3 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 343965346497 and 343965346506.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2190862002 + ... + 2190862158.

Almost surely, 2^343965346560 is an apocalyptic number.

343965346560 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 343965346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721677581856).

343965346560 is an abundant number, since it is smaller than the sum of its proper divisors (1099389817152).

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

343965346560 is a wasteful number, since it uses less digits than its factorization.

343965346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 54.

The spelling of 343965346560 in words is "three hundred forty-three billion, nine hundred sixty-five million, three hundred forty-six thousand, five hundred sixty".