334516640 has 48 divisors (see below), whose sum is σ = 797587560. Its totient is φ = 132572160.

The previous prime is 334516639. The next prime is 334516649. The reversal of 334516640 is 46615433.

It can be written as a sum of positive squares in 4 ways, for example, as 317837584 + 16679056 = 17828^2 + 4084^2 .

It is a super-2 number, since 2×334516640² = 223802764873779200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 334516597 and 334516606.

It is not an unprimeable number, because it can be changed into a prime (334516649) 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, 7850 + ... + 27030.

Almost surely, 2^334516640 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 334516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398793780).

334516640 is an abundant number, since it is smaller than the sum of its proper divisors (463070920).

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

334516640 is a wasteful number, since it uses less digits than its factorization.

334516640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19305 (or 19297 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 334516640 is about 18289.7960622857. The cubic root of 334516640 is about 694.1807644245.

The spelling of 334516640 in words is "three hundred thirty-four million, five hundred sixteen thousand, six hundred forty".