346808133252 has 288 divisors, whose sum is σ = 1071447616512. Its totient is φ = 96038856576.

The previous prime is 346808133241. The next prime is 346808133307. The reversal of 346808133252 is 252331808643.

346808133252 is a `hidden beast` number, since 3 + 468 + 0 + 8 + 133 + 2 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 346808133198 and 346808133207.

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, 29925003 + ... + 29936589.

It is an arithmetic number, because the mean of its divisors is an integer number (3720304224).

Almost surely, 2^346808133252 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 346808133252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535723808256).

346808133252 is an abundant number, since it is smaller than the sum of its proper divisors (724639483260).

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

346808133252 is a wasteful number, since it uses less digits than its factorization.

346808133252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11749 (or 11735 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 346808133252 in words is "three hundred forty-six billion, eight hundred eight million, one hundred thirty-three thousand, two hundred fifty-two".