345504632061300 has 144 divisors (see below), whose sum is σ = 1034933413147200. Its totient is φ = 88888498764800.

The previous prime is 345504632061289. The next prime is 345504632061307. The reversal of 345504632061300 is 3160236405543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345504632061307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4190346 + ... + 26618945.

It is an arithmetic number, because the mean of its divisors is an integer number (7187037591300).

Almost surely, 2^{345504632061300} is an apocalyptic number.

345504632061300 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 345504632061300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517466706573600).

345504632061300 is an abundant number, since it is smaller than the sum of its proper divisors (689428781085900).

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

345504632061300 is a wasteful number, since it uses less digits than its factorization.

345504632061300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30810626 (or 30810619 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

Adding to 345504632061300 its reverse (3160236405543), we get a palindrome (348664868466843).

The spelling of 345504632061300 in words is "three hundred forty-five trillion, five hundred four billion, six hundred thirty-two million, sixty-one thousand, three hundred".