33424790112 has 288 divisors, whose sum is σ = 114429998592. Its totient is φ = 9048010752.

The previous prime is 33424790107. The next prime is 33424790123. The reversal of 33424790112 is 21109742433.

It is a happy number.

33424790112 is a `hidden beast` number, since 33 + 42 + 479 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×33424790112² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4958008 + ... + 4964744.

It is an arithmetic number, because the mean of its divisors is an integer number (397326384).

Almost surely, 2^33424790112 is an apocalyptic number.

33424790112 is a gapful number since it is divisible by the number (32) 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 33424790112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57214999296).

33424790112 is an abundant number, since it is smaller than the sum of its proper divisors (81005208480).

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

33424790112 is a wasteful number, since it uses less digits than its factorization.

33424790112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 33424790112 in words is "thirty-three billion, four hundred twenty-four million, seven hundred ninety thousand, one hundred twelve".