346128344640 has 672 divisors, whose sum is σ = 1375567764480. Its totient is φ = 82255896576.

The previous prime is 346128344609. The next prime is 346128344659. The reversal of 346128344640 is 46443821643.

346128344640 is a `hidden beast` number, since 3 + 46 + 128 + 3 + 446 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29309617 + ... + 29321423.

It is an arithmetic number, because the mean of its divisors is an integer number (2046975840).

Almost surely, 2^346128344640 is an apocalyptic number.

346128344640 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 346128344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687783882240).

346128344640 is an abundant number, since it is smaller than the sum of its proper divisors (1029439419840).

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

346128344640 is a wasteful number, since it uses less digits than its factorization.

346128344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11881 (or 11859 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 346128344640 in words is "three hundred forty-six billion, one hundred twenty-eight million, three hundred forty-four thousand, six hundred forty".