345351441060 has 36 divisors (see below), whose sum is σ = 1047566038428. Its totient is φ = 92093717568.

The previous prime is 345351441053. The next prime is 345351441073. The reversal of 345351441060 is 60144153543.

345351441060 is a `hidden beast` number, since 3 + 4 + 535 + 14 + 4 + 106 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 262904358564 + 82447082496 = 512742^2 + 287136^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 959309379 + ... + 959309738.

It is an arithmetic number, because the mean of its divisors is an integer number (29099056623).

Almost surely, 2^345351441060 is an apocalyptic number.

345351441060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345351441060 is an abundant number, since it is smaller than the sum of its proper divisors (702214597368).

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

345351441060 is a wasteful number, since it uses less digits than its factorization.

345351441060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918619132 (or 1918619127 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 345351441060 in words is "three hundred forty-five billion, three hundred fifty-one million, four hundred forty-one thousand, sixty".