334963533828 has 576 divisors, whose sum is σ = 1074914426880. Its totient is φ = 79152353280.

The previous prime is 334963533803. The next prime is 334963533833. The reversal of 334963533828 is 828335369433.

It is a super-2 number, since 2×334963533828² (a number of 24 digits) contains 22 as substring.

Its product of digits (33592320) is a multiple of the sum of its prime factors (648).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 723463125 + ... + 723463587.

It is an arithmetic number, because the mean of its divisors is an integer number (1866170880).

Almost surely, 2^334963533828 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 334963533828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537457213440).

334963533828 is an abundant number, since it is smaller than the sum of its proper divisors (739950893052).

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

334963533828 is a wasteful number, since it uses less digits than its factorization.

334963533828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 635 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 57.

The spelling of 334963533828 in words is "three hundred thirty-four billion, nine hundred sixty-three million, five hundred thirty-three thousand, eight hundred twenty-eight".