334882080 has 384 divisors, whose sum is σ = 1295481600. Its totient is φ = 80289792.

The previous prime is 334882063. The next prime is 334882081. The reversal of 334882080 is 80288433.

It is a happy number.

It is a super-2 number, since 2×334882080² = 224292015010252800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (334882081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3762676 + ... + 3762764.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2^334882080 is an apocalyptic number.

334882080 is a gapful number since it is divisible by the number (30) 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 334882080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647740800).

334882080 is an abundant number, since it is smaller than the sum of its proper divisors (960599520).

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

334882080 is a wasteful number, since it uses less digits than its factorization.

334882080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 334882080 is about 18299.7836052780. The cubic root of 334882080 is about 694.4334564851.

It can be divided in two parts, 3348820 and 80, that added together give a square (3348900 = 1830²).

The spelling of 334882080 in words is "three hundred thirty-four million, eight hundred eighty-two thousand, eighty".