3311984640 has 112 divisors (see below), whose sum is σ = 10598097168. Its totient is φ = 883163136.

The previous prime is 3311984609. The next prime is 3311984651. The reversal of 3311984640 is 464891133.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109404 + ... + 136356.

Almost surely, 2^3311984640 is an apocalyptic number.

3311984640 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 3311984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299048584).

3311984640 is an abundant number, since it is smaller than the sum of its proper divisors (7286112528).

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

3311984640 is an equidigital number, since it uses as much as digits as its factorization.

3311984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26987 (or 26963 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3311984640 is about 57549.8448303729. The cubic root of 3311984640 is about 1490.6056784191.

The spelling of 3311984640 in words is "three billion, three hundred eleven million, nine hundred eighty-four thousand, six hundred forty".