334664352 has 192 divisors, whose sum is σ = 1111864320. Its totient is φ = 96940800.

The previous prime is 334664311. The next prime is 334664353. The reversal of 334664352 is 253466433.

334664352 is a `hidden beast` number, since 3 + 3 + 4 + 6 + 643 + 5 + 2 = 666.

It is a super-2 number, since 2×334664352² = 224000456999159808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (334664353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217827 + ... + 219357.

It is an arithmetic number, because the mean of its divisors is an integer number (5790960).

Almost surely, 2^334664352 is an apocalyptic number.

334664352 is a gapful number since it is divisible by the number (32) 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 334664352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555932160).

334664352 is an abundant number, since it is smaller than the sum of its proper divisors (777199968).

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

334664352 is a wasteful number, since it uses less digits than its factorization.

334664352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1570 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The square root of 334664352 is about 18293.8337152167. The cubic root of 334664352 is about 694.2829255010.

The spelling of 334664352 in words is "three hundred thirty-four million, six hundred sixty-four thousand, three hundred fifty-two".