3331011984 has 80 divisors (see below), whose sum is σ = 8999424000. Its totient is φ = 1059676288.

The previous prime is 3331011979. The next prime is 3331011991. The reversal of 3331011984 is 4891101333.

It is a super-2 number, since 2×3331011984² = 22191281675103232512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525667 + ... + 531965.

It is an arithmetic number, because the mean of its divisors is an integer number (112492800).

Almost surely, 2^3331011984 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 3331011984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712000).

3331011984 is an abundant number, since it is smaller than the sum of its proper divisors (5668412016).

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

3331011984 is a wasteful number, since it uses less digits than its factorization.

3331011984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812 (or 6806 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3331011984 is about 57714.9199427670. The cubic root of 3331011984 is about 1493.4547381279.

The spelling of 3331011984 in words is "three billion, three hundred thirty-one million, eleven thousand, nine hundred eighty-four".