3333443904 has 336 divisors, whose sum is σ = 11725534080. Its totient is φ = 884183040.

The previous prime is 3333443887. The next prime is 3333443909. The reversal of 3333443904 is 4093443333.

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

It is a super-2 number, since 2×3333443904² = 22223696522229522432, which 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 (3333443909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4059814 + ... + 4060634.

Almost surely, 2^3333443904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3333443904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862767040).

3333443904 is an abundant number, since it is smaller than the sum of its proper divisors (8392090176).

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

3333443904 is a wasteful number, since it uses less digits than its factorization.

3333443904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

The square root of 3333443904 is about 57735.9844810842. The cubic root of 3333443904 is about 1493.8180990668.

The spelling of 3333443904 in words is "three billion, three hundred thirty-three million, four hundred forty-three thousand, nine hundred four".