341937939085344 has 1152 divisors, whose sum is σ = 1246404315340800. Its totient is φ = 90757965957120.

The previous prime is 341937939085339. The next prime is 341937939085417. The reversal of 341937939085344 is 443580939739143.

341937939085344 is a `hidden beast` number, since 3 + 4 + 1 + 9 + 37 + 93 + 90 + 85 + 344 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 3537082129 + ... + 3537178799.

It is an arithmetic number, because the mean of its divisors is an integer number (1081948190400).

Almost surely, 2^{341937939085344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341937939085344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623202157670400).

341937939085344 is an abundant number, since it is smaller than the sum of its proper divisors (904466376255456).

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

341937939085344 is a wasteful number, since it uses less digits than its factorization.

341937939085344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96843 (or 96822 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 72.

The spelling of 341937939085344 in words is "three hundred forty-one trillion, nine hundred thirty-seven billion, nine hundred thirty-nine million, eighty-five thousand, three hundred forty-four".