3382411824 has 160 divisors (see below), whose sum is σ = 10686816000. Its totient is φ = 1015741440.

The previous prime is 3382411819. The next prime is 3382411849. The reversal of 3382411824 is 4281142833.

It is a happy number.

3382411824 is a `hidden beast` number, since 338 + 241 + 1 + 82 + 4 = 666.

It is a super-2 number, since 2×3382411824² = 22881419494270013952, which contains 22 as substring.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533827 + ... + 540125.

It is an arithmetic number, because the mean of its divisors is an integer number (66792600).

Almost surely, 2^3382411824 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 3382411824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343408000).

3382411824 is an abundant number, since it is smaller than the sum of its proper divisors (7304404176).

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

3382411824 is a wasteful number, since it uses less digits than its factorization.

3382411824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440 (or 6428 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 3382411824 is about 58158.5060330817. The cubic root of 3382411824 is about 1501.0972451730.

The spelling of 3382411824 in words is "three billion, three hundred eighty-two million, four hundred eleven thousand, eight hundred twenty-four".