33819210000 has 225 divisors, whose sum is σ = 118463914569. Its totient is φ = 9003744000.

The previous prime is 33819209989. The next prime is 33819210001. The reversal of 33819210000 is 1291833.

The square root of 33819210000 is 183900.

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

It can be written as a sum of positive squares in 7 ways, for example, as 32111206416 + 1708003584 = 179196^2 + 41328^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×33819210000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33819210001) 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 44 ways as a sum of consecutive naturals, for example, 55169694 + ... + 55170306.

Almost surely, 2^33819210000 is an apocalyptic number.

33819210000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33819210000 is the 183900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33819210000

33819210000 is an abundant number, since it is smaller than the sum of its proper divisors (84644704569).

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

33819210000 is an frugal number, since it uses more digits than its factorization.

33819210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Multiplying 33819210000 by its product of nonzero digits (1296), we get a square (43829696160000 = 6620400²).

The spelling of 33819210000 in words is "thirty-three billion, eight hundred nineteen million, two hundred ten thousand".