33625290384 has 405 divisors, whose sum is σ = 114445817577. Its totient is φ = 9189137664.

The previous prime is 33625290317. The next prime is 33625290389. The reversal of 33625290384 is 48309252633.

The square root of 33625290384 is 183372.

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

33625290384 is a `hidden beast` number, since 33 + 62 + 529 + 0 + 38 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30088371600 + 3536918784 = 173460^2 + 59472^2 .

It is a super-2 number, since 2×33625290384² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33625290389) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 569920147 + ... + 569920205.

Almost surely, 2^33625290384 is an apocalyptic number.

33625290384 is the 183372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33625290384

33625290384 is an abundant number, since it is smaller than the sum of its proper divisors (80820527193).

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

33625290384 is a wasteful number, since it uses less digits than its factorization.

33625290384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 33625290384 in words is "thirty-three billion, six hundred twenty-five million, two hundred ninety thousand, three hundred eighty-four".