345025240000 has 280 divisors, whose sum is σ = 982021127648. Its totient is φ = 117780480000.

The previous prime is 345025239997. The next prime is 345025240031. The reversal of 345025240000 is 42520543.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 67477444 + ... + 67482556.

Almost surely, 2^345025240000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345025240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491010563824).

345025240000 is an abundant number, since it is smaller than the sum of its proper divisors (636995887648).

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

345025240000 is an equidigital number, since it uses as much as digits as its factorization.

345025240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5393 (or 5368 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 345025240000 its reverse (42520543), we get a palindrome (345067760543).

The spelling of 345025240000 in words is "three hundred forty-five billion, twenty-five million, two hundred forty thousand".