345355032000 has 448 divisors, whose sum is σ = 1259099831808. Its totient is φ = 82708480000.

The previous prime is 345355031981. The next prime is 345355032017. The reversal of 345355032000 is 230553543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21904120 + ... + 21919880.

It is an arithmetic number, because the mean of its divisors is an integer number (2810490696).

Almost surely, 2^345355032000 is an apocalyptic number.

345355032000 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 345355032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629549915904).

345355032000 is an abundant number, since it is smaller than the sum of its proper divisors (913744799808).

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

345355032000 is a wasteful number, since it uses less digits than its factorization.

345355032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15885 (or 15865 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

Adding to 345355032000 its reverse (230553543), we get a palindrome (345585585543).

The spelling of 345355032000 in words is "three hundred forty-five billion, three hundred fifty-five million, thirty-two thousand".