346587081372 has 144 divisors (see below), whose sum is σ = 1036131445440. Its totient is φ = 95577560064.

The previous prime is 346587081353. The next prime is 346587081377. The reversal of 346587081372 is 273180785643.

It is a happy number.

346587081372 is a `hidden beast` number, since 3 + 46 + 587 + 0 + 8 + 13 + 7 + 2 = 666.

It is a super-2 number, since 2×346587081372² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346587081377) 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 47 ways as a sum of consecutive naturals, for example, 28005378 + ... + 28017750.

It is an arithmetic number, because the mean of its divisors is an integer number (7195357260).

Almost surely, 2^346587081372 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 346587081372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518065722720).

346587081372 is an abundant number, since it is smaller than the sum of its proper divisors (689544364068).

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

346587081372 is a wasteful number, since it uses less digits than its factorization.

346587081372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16252 (or 16247 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 346587081372 in words is "three hundred forty-six billion, five hundred eighty-seven million, eighty-one thousand, three hundred seventy-two".