334813764096 has 480 divisors, whose sum is σ = 1133498665728. Its totient is φ = 93162700800.

The previous prime is 334813764079. The next prime is 334813764133. The reversal of 334813764096 is 690467318433.

It is a happy number.

334813764096 is a `hidden beast` number, since 3 + 3 + 481 + 3 + 76 + 4 + 0 + 96 = 666.

It is a super-3 number, since 3×334813764096³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258144120 + ... + 258145416.

Almost surely, 2^334813764096 is an apocalyptic number.

334813764096 is a gapful number since it is divisible by the number (36) 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 334813764096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566749332864).

334813764096 is an abundant number, since it is smaller than the sum of its proper divisors (798684901632).

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

334813764096 is a wasteful number, since it uses less digits than its factorization.

334813764096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 334813764096 in words is "three hundred thirty-four billion, eight hundred thirteen million, seven hundred sixty-four thousand, ninety-six".