334730011038528 has 672 divisors, whose sum is σ = 1044333111435264. Its totient is φ = 94339287232512.

The previous prime is 334730011038349. The next prime is 334730011038581. The reversal of 334730011038528 is 825830110037433.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×334730011038528² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234569032951 + ... + 234569034377.

It is an arithmetic number, because the mean of its divisors is an integer number (1554067130112).

Almost surely, 2^{334730011038528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334730011038528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522166555717632).

334730011038528 is an abundant number, since it is smaller than the sum of its proper divisors (709603100396736).

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

334730011038528 is a wasteful number, since it uses less digits than its factorization.

334730011038528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 334730011038528 in words is "three hundred thirty-four trillion, seven hundred thirty billion, eleven million, thirty-eight thousand, five hundred twenty-eight".