345432026342520 has 768 divisors, whose sum is σ = 1254126291425280. Its totient is φ = 81906577920000.

The previous prime is 345432026342509. The next prime is 345432026342537. The reversal of 345432026342520 is 25243620234543.

345432026342520 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 3 + 2 + 0 + 2 + 634 + 2 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 7258323925 + ... + 7258371515.

It is an arithmetic number, because the mean of its divisors is an integer number (1632976941960).

Almost surely, 2^{345432026342520} is an apocalyptic number.

345432026342520 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 345432026342520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627063145712640).

345432026342520 is an abundant number, since it is smaller than the sum of its proper divisors (908694265082760).

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

345432026342520 is a wasteful number, since it uses less digits than its factorization.

345432026342520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48076 (or 48069 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

The spelling of 345432026342520 in words is "three hundred forty-five trillion, four hundred thirty-two billion, twenty-six million, three hundred forty-two thousand, five hundred twenty".