334429128 has 128 divisors (see below), whose sum is σ = 1038441600. Its totient is φ = 98841600.

The previous prime is 334429091. The next prime is 334429153. The reversal of 334429128 is 821924433.

334429128 is a `hidden beast` number, since 3 + 344 + 291 + 28 = 666.

It is a super-2 number, since 2×334429128² = 223685683309680768, which contains 22 as substring.

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 a junction number, because it is equal to n+sod(n) for n = 334429092 and 334429101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95700 + ... + 99132.

It is an arithmetic number, because the mean of its divisors is an integer number (8112825).

Almost surely, 2^334429128 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 334429128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519220800).

334429128 is an abundant number, since it is smaller than the sum of its proper divisors (704012472).

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

334429128 is a wasteful number, since it uses less digits than its factorization.

334429128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3490 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 334429128 is about 18287.4035335802. The cubic root of 334429128 is about 694.1202248897.

The spelling of 334429128 in words is "three hundred thirty-four million, four hundred twenty-nine thousand, one hundred twenty-eight".