343632096 has 72 divisors (see below), whose sum is σ = 985944960. Its totient is φ = 113519616.

The previous prime is 343632089. The next prime is 343632137. The reversal of 343632096 is 690236343.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 343632096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27265 + ... + 37823.

It is an arithmetic number, because the mean of its divisors is an integer number (13693680).

Almost surely, 2^343632096 is an apocalyptic number.

343632096 is a gapful number since it is divisible by the number (36) 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 343632096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492972480).

343632096 is an abundant number, since it is smaller than the sum of its proper divisors (642312864).

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

343632096 is a wasteful number, since it uses less digits than its factorization.

343632096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10688 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 343632096 is about 18537.3163106206. The cubic root of 343632096 is about 700.4297334095.

The spelling of 343632096 in words is "three hundred forty-three million, six hundred thirty-two thousand, ninety-six".