334938240 has 640 divisors, whose sum is σ = 1492888320. Its totient is φ = 69672960.

The previous prime is 334938211. The next prime is 334938257. The reversal of 334938240 is 42839433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×334938240² = 224367249228595200, which contains 22 as substring.

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 = 334938195 and 334938204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4717405 + ... + 4717475.

It is an arithmetic number, because the mean of its divisors is an integer number (2332638).

Almost surely, 2^334938240 is an apocalyptic number.

334938240 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 334938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746444160).

334938240 is an abundant number, since it is smaller than the sum of its proper divisors (1157950080).

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

334938240 is a wasteful number, since it uses less digits than its factorization.

334938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 334938240 is about 18301.3179853255. The cubic root of 334938240 is about 694.4722733357.

The spelling of 334938240 in words is "three hundred thirty-four million, nine hundred thirty-eight thousand, two hundred forty".