345441024000 has 768 divisors, whose sum is σ = 1294913692800. Its totient is φ = 91968307200.

The previous prime is 345441023999. The next prime is 345441024023. The reversal of 345441024000 is 420144543.

It is a happy number.

345441024000 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 410 + 240 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 559871692 + ... + 559872308.

Almost surely, 2^345441024000 is an apocalyptic number.

345441024000 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 345441024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647456846400).

345441024000 is an abundant number, since it is smaller than the sum of its proper divisors (949472668800).

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

345441024000 is an frugal number, since it uses more digits than its factorization.

345441024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 345441024000 its reverse (420144543), we get a palindrome (345861168543).

The spelling of 345441024000 in words is "three hundred forty-five billion, four hundred forty-one million, twenty-four thousand".