346532904960 has 512 divisors, whose sum is σ = 1223040384000. Its totient is φ = 83083919360.

The previous prime is 346532904947. The next prime is 346532904997. The reversal of 346532904960 is 69409235643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578518741 + ... + 578519339.

It is an arithmetic number, because the mean of its divisors is an integer number (2388750750).

Almost surely, 2^346532904960 is an apocalyptic number.

346532904960 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 346532904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611520192000).

346532904960 is an abundant number, since it is smaller than the sum of its proper divisors (876507479040).

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

346532904960 is a wasteful number, since it uses less digits than its factorization.

346532904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 51.

The spelling of 346532904960 in words is "three hundred forty-six billion, five hundred thirty-two million, nine hundred four thousand, nine hundred sixty".