345365955244800 has 3888 divisors, whose sum is σ = 1577063039505408. Its totient is φ = 70478379417600.

The previous prime is 345365955244789. The next prime is 345365955244801. The reversal of 345365955244800 is 8442559563543.

345365955244800 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 65 + 9 + 5 + 524 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (345365955244801) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 237691640874 + ... + 237691642326.

Almost surely, 2^{345365955244800} is an apocalyptic number.

345365955244800 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 345365955244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788531519752704).

345365955244800 is an abundant number, since it is smaller than the sum of its proper divisors (1231697084260608).

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

345365955244800 is a wasteful number, since it uses less digits than its factorization.

345365955244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 311040000, while the sum is 63.

The spelling of 345365955244800 in words is "three hundred forty-five trillion, three hundred sixty-five billion, nine hundred fifty-five million, two hundred forty-four thousand, eight hundred".