334028992 has 56 divisors (see below), whose sum is σ = 725210640. Its totient is φ = 151388160.

The previous prime is 334028983. The next prime is 334028993. The reversal of 334028992 is 299820433.

It is a super-2 number, since 2×334028992² = 223150734993072128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (334028993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433984 + ... + 434752.

It is an arithmetic number, because the mean of its divisors is an integer number (12950190).

Almost surely, 2^334028992 is an apocalyptic number.

334028992 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 334028992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362605320).

334028992 is an abundant number, since it is smaller than the sum of its proper divisors (391181648).

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

334028992 is a wasteful number, since it uses less digits than its factorization.

334028992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 334028992 is about 18276.4600511149. The cubic root of 334028992 is about 693.8432819728.

The spelling of 334028992 in words is "three hundred thirty-four million, twenty-eight thousand, nine hundred ninety-two".