346155153344 has 224 divisors, whose sum is σ = 924431187456. Its totient is φ = 124200161280.

The previous prime is 346155153343. The next prime is 346155153349. The reversal of 346155153344 is 443351551643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 346155153295 and 346155153304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346155153341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28374254 + ... + 28386450.

It is an arithmetic number, because the mean of its divisors is an integer number (4126924944).

Almost surely, 2^346155153344 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 346155153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462215593728).

346155153344 is an abundant number, since it is smaller than the sum of its proper divisors (578276034112).

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

346155153344 is a wasteful number, since it uses less digits than its factorization.

346155153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12683 (or 12673 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 44.

The spelling of 346155153344 in words is "three hundred forty-six billion, one hundred fifty-five million, one hundred fifty-three thousand, three hundred forty-four".