341324133264 has 240 divisors, whose sum is σ = 1024127380224. Its totient is φ = 105742848000.

The previous prime is 341324133253. The next prime is 341324133299. The reversal of 341324133264 is 462331423143.

It is a happy number.

341324133264 is a `hidden beast` number, since 3 + 4 + 1 + 324 + 1 + 3 + 326 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106562287 + ... + 106565489.

Almost surely, 2^341324133264 is an apocalyptic number.

341324133264 is a gapful number since it is divisible by the number (34) 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 341324133264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512063690112).

341324133264 is an abundant number, since it is smaller than the sum of its proper divisors (682803246960).

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

341324133264 is a wasteful number, since it uses less digits than its factorization.

341324133264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3757 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 341324133264 in words is "three hundred forty-one billion, three hundred twenty-four million, one hundred thirty-three thousand, two hundred sixty-four".