346398761088 has 128 divisors (see below), whose sum is σ = 1022879664000. Its totient is φ = 115407277056.

The previous prime is 346398761017. The next prime is 346398761101. The reversal of 346398761088 is 880167893643.

346398761088 is a `hidden beast` number, since 3 + 4 + 6 + 3 + 9 + 8 + 7 + 610 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7022206 + ... + 7071362.

It is an arithmetic number, because the mean of its divisors is an integer number (7991247375).

Almost surely, 2^346398761088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346398761088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511439832000).

346398761088 is an abundant number, since it is smaller than the sum of its proper divisors (676480902912).

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

346398761088 is a wasteful number, since it uses less digits than its factorization.

346398761088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51219 (or 51201 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 346398761088 in words is "three hundred forty-six billion, three hundred ninety-eight million, seven hundred sixty-one thousand, eighty-eight".