345128846088240 has 320 divisors, whose sum is σ = 1258746273832320. Its totient is φ = 86617746800640.

The previous prime is 345128846088227. The next prime is 345128846088281. The reversal of 345128846088240 is 42880648821543.

It is a happy number.

345128846088240 is a `hidden beast` number, since 3 + 4 + 5 + 12 + 8 + 8 + 4 + 608 + 8 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×345128846088240² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1268062570 + ... + 1268334710.

It is an arithmetic number, because the mean of its divisors is an integer number (3933582105726).

Almost surely, 2^{345128846088240} is an apocalyptic number.

345128846088240 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 345128846088240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629373136916160).

345128846088240 is an abundant number, since it is smaller than the sum of its proper divisors (913617427744080).

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

345128846088240 is a wasteful number, since it uses less digits than its factorization.

345128846088240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306717 (or 306705 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 63.

The spelling of 345128846088240 in words is "three hundred forty-five trillion, one hundred twenty-eight billion, eight hundred forty-six million, eighty-eight thousand, two hundred forty".