33672240000 has 1280 divisors, whose sum is σ = 151421529600. Its totient is φ = 7188480000.

The previous prime is 33672239981. The next prime is 33672240001. The reversal of 33672240000 is 4227633.

It is a super-2 number, since 2×33672240000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33672240001) 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 159 ways as a sum of consecutive naturals, for example, 257039935 + ... + 257040065.

It is an arithmetic number, because the mean of its divisors is an integer number (118298070).

Almost surely, 2^33672240000 is an apocalyptic number.

33672240000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33672240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75710764800).

33672240000 is an abundant number, since it is smaller than the sum of its proper divisors (117749289600).

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

33672240000 is a wasteful number, since it uses less digits than its factorization.

33672240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 33672240000 its reverse (4227633), we get a palindrome (33676467633).

The spelling of 33672240000 in words is "thirty-three billion, six hundred seventy-two million, two hundred forty thousand".