345559032000 has 1008 divisors, whose sum is σ = 1530117531072. Its totient is φ = 72891187200.

The previous prime is 345559031999. The next prime is 345559032029. The reversal of 345559032000 is 230955543.

345559032000 is a `hidden beast` number, since 3 + 45 + 5 + 590 + 3 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×345559032000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85173972 + ... + 85178028.

Almost surely, 2^345559032000 is an apocalyptic number.

345559032000 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 345559032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765058765536).

345559032000 is an abundant number, since it is smaller than the sum of its proper divisors (1184558499072).

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

345559032000 is a wasteful number, since it uses less digits than its factorization.

345559032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 345559032000 its reverse (230955543), we get a palindrome (345789987543).

The spelling of 345559032000 in words is "three hundred forty-five billion, five hundred fifty-nine million, thirty-two thousand".