343429632 has 450 divisors, whose sum is σ = 1291180473. Its totient is φ = 90574848.

The previous prime is 343429621. The next prime is 343429637. The reversal of 343429632 is 236924343.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 293642496 + 49787136 = 17136^2 + 7056^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=13104.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (343429637) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26417658 + ... + 26417670.

Almost surely, 2^343429632 is an apocalyptic number.

343429632 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 343429632

343429632 is an abundant number, since it is smaller than the sum of its proper divisors (947750841).

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

343429632 is an equidigital number, since it uses as much as digits as its factorization.

343429632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 25 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 343429632 is about 18531.8545213370. The cubic root of 343429632 is about 700.2921447232.

Multiplying 343429632 by its product of digits (93312), we get a square (32046105821184 = 5660928²).

The spelling of 343429632 in words is "three hundred forty-three million, four hundred twenty-nine thousand, six hundred thirty-two".