345132633060 has 144 divisors (see below), whose sum is σ = 1049577839856. Its totient is φ = 91800539136.

The previous prime is 345132633049. The next prime is 345132633073. The reversal of 345132633060 is 60336231543.

345132633060 is a `hidden beast` number, since 3 + 4 + 5 + 13 + 2 + 633 + 0 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5521084416 + 339611548644 = 74304^2 + 582762^2 .

It is a super-3 number, since 3×345132633060³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173171424 + ... + 173173416.

It is an arithmetic number, because the mean of its divisors is an integer number (7288734999).

Almost surely, 2^345132633060 is an apocalyptic number.

345132633060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345132633060 is an abundant number, since it is smaller than the sum of its proper divisors (704445206796).

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

345132633060 is a wasteful number, since it uses less digits than its factorization.

345132633060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 345132633060 in words is "three hundred forty-five billion, one hundred thirty-two million, six hundred thirty-three thousand, sixty".