34335474683904 has 273 divisors, whose sum is σ = 102977124130299. Its totient is φ = 11441783070720.

The previous prime is 34335474683863. The next prime is 34335474683969. The reversal of 34335474683904 is 40938647453343.

The square root of 34335474683904 is 5859648.

It is a perfect power (a square), and thus also a powerful number.

34335474683904 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 547 + 4 + 6 + 83 + 9 + 0 + 4 = 666.

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 20 ways as a sum of consecutive naturals, for example, 10125470049 + ... + 10125473439.

Almost surely, 2^{34335474683904} is an apocalyptic number.

34335474683904 is the 5859648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34335474683904

34335474683904 is an abundant number, since it is smaller than the sum of its proper divisors (68641649446395).

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

34335474683904 is an frugal number, since it uses more digits than its factorization.

34335474683904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6824 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 63.

The spelling of 34335474683904 in words is "thirty-four trillion, three hundred thirty-five billion, four hundred seventy-four million, six hundred eighty-three thousand, nine hundred four".