345354240000 has 1280 divisors, whose sum is σ = 1454411439360. Its totient is φ = 70778880000.

The previous prime is 345354239953. The next prime is 345354240001. The reversal of 345354240000 is 42453543.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a self number, because there is not a number n which added to its sum of digits gives 345354240000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345354240001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4730879964 + ... + 4730880036.

It is an arithmetic number, because the mean of its divisors is an integer number (1136258937).

Almost surely, 2^345354240000 is an apocalyptic number.

345354240000 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 345354240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727205719680).

345354240000 is an abundant number, since it is smaller than the sum of its proper divisors (1109057199360).

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

345354240000 is an frugal number, since it uses more digits than its factorization.

345354240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 345354240000 its reverse (42453543), we get a palindrome (345396693543).

The spelling of 345354240000 in words is "three hundred forty-five billion, three hundred fifty-four million, two hundred forty thousand".