3382611984 has 120 divisors (see below), whose sum is σ = 9576933912. Its totient is φ = 1114490880.

The previous prime is 3382611983. The next prime is 3382611989. The reversal of 3382611984 is 4891162833.

It can be written as a sum of positive squares in 4 ways, for example, as 394896384 + 2987715600 = 19872^2 + 54660^2 .

It is a super-2 number, since 2×3382611984² = 22884127668600832512, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3382611983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6072634 + ... + 6073190.

Almost surely, 2^3382611984 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 3382611984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788466956).

3382611984 is an abundant number, since it is smaller than the sum of its proper divisors (6194321928).

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

3382611984 is a wasteful number, since it uses less digits than its factorization.

3382611984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 976 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3382611984 is about 58160.2268221162. The cubic root of 3382611984 is about 1501.1268545872.

The spelling of 3382611984 in words is "three billion, three hundred eighty-two million, six hundred eleven thousand, nine hundred eighty-four".