346728323760 has 240 divisors, whose sum is σ = 1346525754336. Its totient is φ = 73155833856.

The previous prime is 346728323743. The next prime is 346728323761. The reversal of 346728323760 is 67323827643.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (346728323761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981109 + ... + 1286868.

Almost surely, 2^346728323760 is an apocalyptic number.

346728323760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

346728323760 is an abundant number, since it is smaller than the sum of its proper divisors (999797430576).

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

346728323760 is a wasteful number, since it uses less digits than its factorization.

346728323760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268020 (or 2268007 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 346728323760 in words is "three hundred forty-six billion, seven hundred twenty-eight million, three hundred twenty-three thousand, seven hundred sixty".