341678131200 has 2304 divisors, whose sum is σ = 1591098163200. Its totient is φ = 70071091200.

The previous prime is 341678131199. The next prime is 341678131211. The reversal of 341678131200 is 2131876143.

It is a happy number.

341678131200 is a `hidden beast` number, since 3 + 416 + 7 + 8 + 1 + 31 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5099673567 + ... + 5099673633.

It is an arithmetic number, because the mean of its divisors is an integer number (690580800).

Almost surely, 2^341678131200 is an apocalyptic number.

341678131200 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 341678131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795549081600).

341678131200 is an abundant number, since it is smaller than the sum of its proper divisors (1249420032000).

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

341678131200 is a wasteful number, since it uses less digits than its factorization.

341678131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

It can be divided in two parts, 341678 and 131200, that added together give a triangular number (472878 = T₉₇₂).

The spelling of 341678131200 in words is "three hundred forty-one billion, six hundred seventy-eight million, one hundred thirty-one thousand, two hundred".