346596096 has 144 divisors (see below), whose sum is σ = 1150265088. Its totient is φ = 90009600.

The previous prime is 346596091. The next prime is 346596109. The reversal of 346596096 is 690695643.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (346596091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56206 + ... + 62066.

It is an arithmetic number, because the mean of its divisors is an integer number (7987952).

Almost surely, 2^346596096 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 346596096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575132544).

346596096 is an abundant number, since it is smaller than the sum of its proper divisors (803668992).

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

346596096 is a wasteful number, since it uses less digits than its factorization.

346596096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The square root of 346596096 is about 18617.0915021654. The cubic root of 346596096 is about 702.4378239742.

It can be divided in two parts, 34659 and 6096, that added together give a triangular number (40755 = T₂₈₅).

The spelling of 346596096 in words is "three hundred forty-six million, five hundred ninety-six thousand, ninety-six".