334414080 has 864 divisors, whose sum is σ = 1607074560. Its totient is φ = 61931520.

The previous prime is 334414037. The next prime is 334414097. The reversal of 334414080 is 80414433.

It is a super-2 number, since 2×334414080² = 223665553804492800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11531506 + ... + 11531534.

It is an arithmetic number, because the mean of its divisors is an integer number (1860040).

Almost surely, 2^334414080 is an apocalyptic number.

334414080 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 334414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803537280).

334414080 is an abundant number, since it is smaller than the sum of its proper divisors (1272660480).

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

334414080 is a wasteful number, since it uses less digits than its factorization.

334414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 334414080 is about 18286.9920982101. The cubic root of 334414080 is about 694.1098138371.

It can be divided in two parts, 3344 and 14080, that added together give a square (17424 = 132²).

The spelling of 334414080 in words is "three hundred thirty-four million, four hundred fourteen thousand, eighty".