343129632 has 96 divisors (see below), whose sum is σ = 971937792. Its totient is φ = 105590784.

The previous prime is 343129613. The next prime is 343129667. The reversal of 343129632 is 236921343.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 343129593 and 343129602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84513 + ... + 88479.

It is an arithmetic number, because the mean of its divisors is an integer number (10124352).

Almost surely, 2^343129632 is an apocalyptic number.

343129632 is a gapful number since it is divisible by the number (32) 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 343129632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485968896).

343129632 is an abundant number, since it is smaller than the sum of its proper divisors (628808160).

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

343129632 is a wasteful number, since it uses less digits than its factorization.

343129632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4042 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 343129632 is about 18523.7585818861. The cubic root of 343129632 is about 700.0881739269.

The spelling of 343129632 in words is "three hundred forty-three million, one hundred twenty-nine thousand, six hundred thirty-two".