341535963820800 has 864 divisors, whose sum is σ = 1356679486955520. Its totient is φ = 73917292953600.

The previous prime is 341535963820783. The next prime is 341535963820817. The reversal of 341535963820800 is 8028369535143.

It is an interprime number because it is at equal distance from previous prime (341535963820783) and next prime (341535963820817).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4930966969 + ... + 4931036231.

It is an arithmetic number, because the mean of its divisors is an integer number (1570230887680).

Almost surely, 2^{341535963820800} is an apocalyptic number.

341535963820800 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 341535963820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678339743477760).

341535963820800 is an abundant number, since it is smaller than the sum of its proper divisors (1015143523134720).

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

341535963820800 is a wasteful number, since it uses less digits than its factorization.

341535963820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71249 (or 71230 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 341535963820800 in words is "three hundred forty-one trillion, five hundred thirty-five billion, nine hundred sixty-three million, eight hundred twenty thousand, eight hundred".