341881344000 has 832 divisors, whose sum is σ = 1445033940480. Its totient is φ = 78122188800.

The previous prime is 341881343977. The next prime is 341881344019. The reversal of 341881344000 is 443188143.

341881344000 is a `hidden beast` number, since 3 + 41 + 88 + 134 + 400 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96766234 + ... + 96769766.

It is an arithmetic number, because the mean of its divisors is an integer number (1736819640).

Almost surely, 2^341881344000 is an apocalyptic number.

341881344000 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 341881344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722516970240).

341881344000 is an abundant number, since it is smaller than the sum of its proper divisors (1103152596480).

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

341881344000 is an equidigital number, since it uses as much as digits as its factorization.

341881344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 341881344000 in words is "three hundred forty-one billion, eight hundred eighty-one million, three hundred forty-four thousand".