33742750864 has 45 divisors (see below), whose sum is σ = 69027109977. Its totient is φ = 15976795392.

The previous prime is 33742750859. The next prime is 33742750897. The reversal of 33742750864 is 46805724733.

The square root of 33742750864 is 183692.

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

It can be written as a sum of positive squares in only one way, i.e., 32855187600 + 887563264 = 181260^2 + 29792^2 .

It is a super-2 number, since 2×33742750864² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 13959384 + ... + 13961800.

Almost surely, 2^33742750864 is an apocalyptic number.

33742750864 is the 183692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33742750864

33742750864 is an abundant number, since it is smaller than the sum of its proper divisors (35284359113).

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

33742750864 is an frugal number, since it uses more digits than its factorization.

33742750864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

Multiplying 33742750864 by its sum of digits (49), we get a square (1653394792336 = 1285844²).

The spelling of 33742750864 in words is "thirty-three billion, seven hundred forty-two million, seven hundred fifty thousand, eight hundred sixty-four".