346936298496 has 176 divisors, whose sum is σ = 974243612160. Its totient is φ = 109461749760.

The previous prime is 346936298461. The next prime is 346936298497. The reversal of 346936298496 is 694892639643.

It is a happy number.

346936298496 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×346936298496² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 346936298496.

It is not an unprimeable number, because it can be changed into a prime (346936298497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95546601 + ... + 95550231.

Almost surely, 2^346936298496 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 346936298496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487121806080).

346936298496 is an abundant number, since it is smaller than the sum of its proper divisors (627307313664).

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

346936298496 is a wasteful number, since it uses less digits than its factorization.

346936298496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310 (or 5292 counting only the distinct ones).

The product of its digits is 362797056, while the sum is 69.

The spelling of 346936298496 in words is "three hundred forty-six billion, nine hundred thirty-six million, two hundred ninety-eight thousand, four hundred ninety-six".