345027636109632 has 1344 divisors, whose sum is σ = 1207614751948800. Its totient is φ = 86192697507840.

The previous prime is 345027636109631. The next prime is 345027636109643. The reversal of 345027636109632 is 236901636720543.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345027636109631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44989908294 + ... + 44989915962.

Almost surely, 2^{345027636109632} is an apocalyptic number.

345027636109632 is a gapful number since it is divisible by the number (32) 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 345027636109632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603807375974400).

345027636109632 is an abundant number, since it is smaller than the sum of its proper divisors (862587115839168).

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

345027636109632 is a wasteful number, since it uses less digits than its factorization.

345027636109632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124 (or 8107 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 57.

The spelling of 345027636109632 in words is "three hundred forty-five trillion, twenty-seven billion, six hundred thirty-six million, one hundred nine thousand, six hundred thirty-two".