334209920 has 128 divisors (see below), whose sum is σ = 902210400. Its totient is φ = 117268480.

The previous prime is 334209917. The next prime is 334209929. The reversal of 334209920 is 29902433.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×334209920² = 223392541252812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334209929) 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, 203342 + ... + 204978.

Almost surely, 2^334209920 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 334209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451105200).

334209920 is an abundant number, since it is smaller than the sum of its proper divisors (568000480).

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

334209920 is a wasteful number, since it uses less digits than its factorization.

334209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 334209920 is about 18281.4091360595. The cubic root of 334209920 is about 693.9685335942.

The spelling of 334209920 in words is "three hundred thirty-four million, two hundred nine thousand, nine hundred twenty".