346207113252 has 720 divisors, whose sum is σ = 1248165870336. Its totient is φ = 81396057600.

The previous prime is 346207113223. The next prime is 346207113281. The reversal of 346207113252 is 252311702643.

346207113252 is a `hidden beast` number, since 3 + 4 + 620 + 7 + 1 + 1 + 3 + 25 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (346207113223) and next prime (346207113281).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 189079977 + ... + 189081807.

Almost surely, 2^346207113252 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 346207113252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624082935168).

346207113252 is an abundant number, since it is smaller than the sum of its proper divisors (901958757084).

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

346207113252 is a wasteful number, since it uses less digits than its factorization.

346207113252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 346207113252 its reverse (252311702643), we get a palindrome (598518815895).

The spelling of 346207113252 in words is "three hundred forty-six billion, two hundred seven million, one hundred thirteen thousand, two hundred fifty-two".