341875783416960 has 1280 divisors, whose sum is σ = 1332754483737600. Its totient is φ = 83007966412800.

The previous prime is 341875783416953. The next prime is 341875783416961. The reversal of 341875783416960 is 69614387578143.

341875783416960 is a `hidden beast` number, since 3 + 4 + 1 + 8 + 7 + 578 + 3 + 41 + 6 + 9 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (341875783416961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 69051862485 + ... + 69051867435.

It is an arithmetic number, because the mean of its divisors is an integer number (1041214440420).

Almost surely, 2^{341875783416960} is an apocalyptic number.

341875783416960 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 341875783416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666377241868800).

341875783416960 is an abundant number, since it is smaller than the sum of its proper divisors (990878700320640).

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

341875783416960 is a wasteful number, since it uses less digits than its factorization.

341875783416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6371 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 341875783416960 in words is "three hundred forty-one trillion, eight hundred seventy-five billion, seven hundred eighty-three million, four hundred sixteen thousand, nine hundred sixty".