334819368 has 192 divisors, whose sum is σ = 1047009600. Its totient is φ = 95800320.

The previous prime is 334819367. The next prime is 334819393. The reversal of 334819368 is 863918433.

It is a super-2 number, since 2×334819368² = 224208018375838848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (334819367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1191388 + ... + 1191668.

It is an arithmetic number, because the mean of its divisors is an integer number (5453175).

Almost surely, 2^334819368 is an apocalyptic number.

334819368 is a gapful number since it is divisible by the number (38) 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 334819368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523504800).

334819368 is an abundant number, since it is smaller than the sum of its proper divisors (712190232).

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

334819368 is a wasteful number, since it uses less digits than its factorization.

334819368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 334819368 is about 18298.0700621678. The cubic root of 334819368 is about 694.3901058728.

It can be divided in two parts, 33481 and 9368, that added together give a square (42849 = 207²).

The spelling of 334819368 in words is "three hundred thirty-four million, eight hundred nineteen thousand, three hundred sixty-eight".