33423984000 has 384 divisors, whose sum is σ = 130952259360. Its totient is φ = 8102400000.

The previous prime is 33423983963. The next prime is 33423984001. The reversal of 33423984000 is 48932433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×33423984000² (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 not an unprimeable number, because it can be changed into a prime (33423984001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1573450 + ... + 1594550.

Almost surely, 2^33423984000 is an apocalyptic number.

33423984000 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 33423984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65476129680).

33423984000 is an abundant number, since it is smaller than the sum of its proper divisors (97528275360).

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

33423984000 is a wasteful number, since it uses less digits than its factorization.

33423984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21147 (or 21122 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 33423984000 in words is "thirty-three billion, four hundred twenty-three million, nine hundred eighty-four thousand".