334044984 has 128 divisors (see below), whose sum is σ = 1052029440. Its totient is φ = 86026752.

The previous prime is 334044983. The next prime is 334045021. The reversal of 334044984 is 489440433.

334044984 = 477² + 478² + ... + 1035².

334044984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×334044984² = 223172102671120512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334044983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92134 + ... + 95690.

It is an arithmetic number, because the mean of its divisors is an integer number (8218980).

Almost surely, 2^334044984 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 334044984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526014720).

334044984 is an abundant number, since it is smaller than the sum of its proper divisors (717984456).

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

334044984 is a wasteful number, since it uses less digits than its factorization.

334044984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 334044984 is about 18276.8975485447. The cubic root of 334044984 is about 693.8543546292.

The spelling of 334044984 in words is "three hundred thirty-four million, forty-four thousand, nine hundred eighty-four".