33243840 has 336 divisors, whose sum is σ = 139793472. Its totient is φ = 7077888.

The previous prime is 33243839. The next prime is 33243851. The reversal of 33243840 is 4834233.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×33243840² = 2210305795891200, which contains 22 as substring.

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, 342672 + ... + 342768.

It is an arithmetic number, because the mean of its divisors is an integer number (416052).

Almost surely, 2^33243840 is an apocalyptic number.

33243840 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 33243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69896736).

33243840 is an abundant number, since it is smaller than the sum of its proper divisors (106549632).

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

33243840 is a wasteful number, since it uses less digits than its factorization.

33243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 33243840 is about 5765.7471328528. The cubic root of 33243840 is about 321.5415205170.

The spelling of 33243840 in words is "thirty-three million, two hundred forty-three thousand, eight hundred forty".