334961328 has 80 divisors (see below), whose sum is σ = 972437760. Its totient is φ = 98579712.

The previous prime is 334961311. The next prime is 334961329. The reversal of 334961328 is 823169433.

It is a super-2 number, since 2×334961328² = 224398182511047168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (334961329) 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, 2683 + ... + 26021.

It is an arithmetic number, because the mean of its divisors is an integer number (12155472).

Almost surely, 2^334961328 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 334961328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486218880).

334961328 is an abundant number, since it is smaller than the sum of its proper divisors (637476432).

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

334961328 is a wasteful number, since it uses less digits than its factorization.

334961328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23386 (or 23380 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 334961328 is about 18301.9487486989. The cubic root of 334961328 is about 694.4882301158.

The spelling of 334961328 in words is "three hundred thirty-four million, nine hundred sixty-one thousand, three hundred twenty-eight".