345138584616 has 576 divisors, whose sum is σ = 1211890680000. Its totient is φ = 88080556032.

The previous prime is 345138584603. The next prime is 345138584617. The reversal of 345138584616 is 616485831543.

It is a happy number.

345138584616 is a `hidden beast` number, since 3 + 4 + 5 + 13 + 8 + 5 + 8 + 4 + 616 = 666.

It is a super-3 number, since 3×345138584616³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (345138584617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83586840 + ... + 83590968.

It is an arithmetic number, because the mean of its divisors is an integer number (2103976875).

Almost surely, 2^345138584616 is an apocalyptic number.

345138584616 is a gapful number since it is divisible by the number (36) 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 345138584616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605945340000).

345138584616 is an abundant number, since it is smaller than the sum of its proper divisors (866752095384).

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

345138584616 is a wasteful number, since it uses less digits than its factorization.

345138584616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246 (or 4232 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 345138584616 in words is "three hundred forty-five billion, one hundred thirty-eight million, five hundred eighty-four thousand, six hundred sixteen".