334736640 has 324 divisors, whose sum is σ = 1349512164. Its totient is φ = 76382208.

The previous prime is 334736617. The next prime is 334736651. The reversal of 334736640 is 46637433.

334736640 is a `hidden beast` number, since 3 + 3 + 4 + 7 + 3 + 6 + 640 = 666.

334736640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 163021824 + 171714816 = 12768^2 + 13104^2 .

It is a super-3 number, since 3×334736640³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 334736595 and 334736604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564184 + ... + 564776.

It is an arithmetic number, because the mean of its divisors is an integer number (4165161).

Almost surely, 2^334736640 is an apocalyptic number.

334736640 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 334736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674756082).

334736640 is an abundant number, since it is smaller than the sum of its proper divisors (1014775524).

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

334736640 is a wasteful number, since it uses less digits than its factorization.

334736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 334736640 is about 18295.8093562433. The cubic root of 334736640 is about 694.3329106186.

The spelling of 334736640 in words is "three hundred thirty-four million, seven hundred thirty-six thousand, six hundred forty".