343825896960 has 2400 divisors, whose sum is σ = 1635777491040. Its totient is φ = 68223762432.

The previous prime is 343825896923. The next prime is 343825897003. The reversal of 343825896960 is 69698528343.

343825896960 is a `hidden beast` number, since 3 + 43 + 8 + 2 + 589 + 6 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2509678012 + ... + 2509678148.

Almost surely, 2^343825896960 is an apocalyptic number.

343825896960 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 343825896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817888745520).

343825896960 is an abundant number, since it is smaller than the sum of its proper divisors (1291951594080).

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

343825896960 is a wasteful number, since it uses less digits than its factorization.

343825896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 343825896960 in words is "three hundred forty-three billion, eight hundred twenty-five million, eight hundred ninety-six thousand, nine hundred sixty".