345505615325340 has 48 divisors (see below), whose sum is σ = 1024322530144032. Its totient is φ = 86715134826496.

The previous prime is 345505615325329. The next prime is 345505615325341. The reversal of 345505615325340 is 43523516505543.

It is a super-2 number, since 2×345505615325340² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345505615325341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169365496689 + ... + 169365498728.

It is an arithmetic number, because the mean of its divisors is an integer number (21340052711334).

Almost surely, 2^{345505615325340} is an apocalyptic number.

345505615325340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345505615325340 is an abundant number, since it is smaller than the sum of its proper divisors (678816914818692).

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

345505615325340 is a wasteful number, since it uses less digits than its factorization.

345505615325340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338730995446 (or 338730995444 counting only the distinct ones).

The product of its (nonzero) digits is 16200000, while the sum is 51.

The spelling of 345505615325340 in words is "three hundred forty-five trillion, five hundred five billion, six hundred fifteen million, three hundred twenty-five thousand, three hundred forty".