343404551041200 has 480 divisors, whose sum is σ = 1379359568908800. Its totient is φ = 80378911872000.

The previous prime is 343404551041187. The next prime is 343404551041301. The reversal of 343404551041200 is 2140155404343.

343404551041200 is a `hidden beast` number, since 3 + 4 + 3 + 40 + 4 + 551 + 0 + 41 + 20 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 46392916 + ... + 53283315.

It is an arithmetic number, because the mean of its divisors is an integer number (2873665768560).

Almost surely, 2^{343404551041200} is an apocalyptic number.

343404551041200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343404551041200 is an abundant number, since it is smaller than the sum of its proper divisors (1035955017867600).

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

343404551041200 is a wasteful number, since it uses less digits than its factorization.

343404551041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99676298 (or 99676281 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 343404551041200 in words is "three hundred forty-three trillion, four hundred four billion, five hundred fifty-one million, forty-one thousand, two hundred".