33798293776900 has 81 divisors (see below), whose sum is σ = 75962339888799. Its totient is φ = 13052483021760.

The previous prime is 33798293776883. The next prime is 33798293776931. The reversal of 33798293776900 is 967739289733.

The square root of 33798293776900 is 5813630.

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 464575833604 + 33333717943296 = 681598^2 + 5773536^2 .

It is a super-2 number, since 2×33798293776900² (a number of 28 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 (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1685942677 + ... + 1685962723.

Almost surely, 2^{33798293776900} is an apocalyptic number.

33798293776900 is the 5813630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33798293776900

33798293776900 is an abundant number, since it is smaller than the sum of its proper divisors (42164046111899).

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

33798293776900 is an frugal number, since it uses more digits than its factorization.

33798293776900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40166 (or 20083 counting only the distinct ones).

The product of its (nonzero) digits is 648121824, while the sum is 73.

The spelling of 33798293776900 in words is "thirty-three trillion, seven hundred ninety-eight billion, two hundred ninety-three million, seven hundred seventy-six thousand, nine hundred".