3311982720 has 384 divisors, whose sum is σ = 12287246400. Its totient is φ = 819486720.

The previous prime is 3311982703. The next prime is 3311982733. The reversal of 3311982720 is 272891133.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5800035 + ... + 5800605.

Almost surely, 2^3311982720 is an apocalyptic number.

3311982720 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 3311982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143623200).

3311982720 is an abundant number, since it is smaller than the sum of its proper divisors (8975263680).

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

3311982720 is a wasteful number, since it uses less digits than its factorization.

3311982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3311982720 is about 57549.8281491787. The cubic root of 3311982720 is about 1490.6053903779.

The spelling of 3311982720 in words is "three billion, three hundred eleven million, nine hundred eighty-two thousand, seven hundred twenty".