334349180928 has 504 divisors, whose sum is σ = 1182902404320. Its totient is φ = 90481950720.

The previous prime is 334349180923. The next prime is 334349180933. The reversal of 334349180928 is 829081943433.

334349180928 is a `hidden beast` number, since 3 + 3 + 434 + 9 + 180 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (334349180923) and next prime (334349180933).

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×334349180928² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334349180923) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68638333 + ... + 68643203.

It is an arithmetic number, because the mean of its divisors is an integer number (2347028580).

Almost surely, 2^334349180928 is an apocalyptic number.

334349180928 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 334349180928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591451202160).

334349180928 is an abundant number, since it is smaller than the sum of its proper divisors (848553223392).

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

334349180928 is a wasteful number, since it uses less digits than its factorization.

334349180928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4936 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 334349180928 in words is "three hundred thirty-four billion, three hundred forty-nine million, one hundred eighty thousand, nine hundred twenty-eight".