341083072884736 has 1248 divisors, whose sum is σ = 922661939996160. Its totient is φ = 124576590200832.

The previous prime is 341083072884703. The next prime is 341083072884737. The reversal of 341083072884736 is 637488270380143.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341083072884737) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 342109400590 + ... + 342109401586.

It is an arithmetic number, because the mean of its divisors is an integer number (739312451920).

Almost surely, 2^{341083072884736} 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 341083072884736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461330969998080).

341083072884736 is an abundant number, since it is smaller than the sum of its proper divisors (581578867111424).

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

341083072884736 is a wasteful number, since it uses less digits than its factorization.

341083072884736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 64.

The spelling of 341083072884736 in words is "three hundred forty-one trillion, eighty-three billion, seventy-two million, eight hundred eighty-four thousand, seven hundred thirty-six".