33423840 has 120 divisors (see below), whose sum is σ = 118004040. Its totient is φ = 8909568.

The previous prime is 33423823. The next prime is 33423893. The reversal of 33423840 is 4832433.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33423840² = 2234306160691200, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11671 + ... + 14249.

It is an arithmetic number, because the mean of its divisors is an integer number (983367).

Almost surely, 2^33423840 is an apocalyptic number.

33423840 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 33423840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59002020).

33423840 is an abundant number, since it is smaller than the sum of its proper divisors (84580200).

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

33423840 is a wasteful number, since it uses less digits than its factorization.

33423840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2589 counting only the distinct ones).

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

The square root of 33423840 is about 5781.3354858545. The cubic root of 33423840 is about 322.1208090597.

The spelling of 33423840 in words is "thirty-three million, four hundred twenty-three thousand, eight hundred forty".