346328801280 has 1792 divisors, whose sum is σ = 1585350144000. Its totient is φ = 71097384960.

The previous prime is 346328801263. The next prime is 346328801281. The reversal of 346328801280 is 82108823643.

346328801280 is a `hidden beast` number, since 3 + 4 + 632 + 8 + 8 + 0 + 1 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346328801281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4172636119 + ... + 4172636201.

It is an arithmetic number, because the mean of its divisors is an integer number (884682000).

Almost surely, 2^346328801280 is an apocalyptic number.

346328801280 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 346328801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792675072000).

346328801280 is an abundant number, since it is smaller than the sum of its proper divisors (1239021342720).

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

346328801280 is an equidigital number, since it uses as much as digits as its factorization.

346328801280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 346328801280 in words is "three hundred forty-six billion, three hundred twenty-eight million, eight hundred one thousand, two hundred eighty".