33952484644 has 81 divisors (see below), whose sum is σ = 68085973683. Its totient is φ = 14805820224.

The previous prime is 33952484641. The next prime is 33952484651. The reversal of 33952484644 is 44648425933.

The square root of 33952484644 is 184262.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3926526244 + 30025958400 = 62662^2 + 173280^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 33952484591 and 33952484600.

It is not an unprimeable number, because it can be changed into a prime (33952484641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 91025242 + ... + 91025614.

Almost surely, 2^33952484644 is an apocalyptic number.

33952484644 is the 184262-nd square number.

It is an amenable number.

33952484644 is an abundant number, since it is smaller than the sum of its proper divisors (34133489039).

33952484644 is a wasteful number, since it uses less digits than its factorization.

33952484644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 407 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 52.

The spelling of 33952484644 in words is "thirty-three billion, nine hundred fifty-two million, four hundred eighty-four thousand, six hundred forty-four".