3082981824 has 588 divisors, whose sum is σ = 10973842416. Its totient is φ = 853991424.

The previous prime is 3082981799. The next prime is 3082981897. The reversal of 3082981824 is 4281892803.

It is a super-2 number, since 2×3082981824² = 19009553854228733952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3082981824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 134042677 + ... + 134042699.

Almost surely, 2^3082981824 is an apocalyptic number.

3082981824 is a gapful number since it is divisible by the number (34) 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 3082981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486921208).

3082981824 is an abundant number, since it is smaller than the sum of its proper divisors (7890860592).

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

3082981824 is a wasteful number, since it uses less digits than its factorization.

3082981824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3082981824 is about 55524.6055726648. The cubic root of 3082981824 is about 1455.4266449977.

It can be divided in two parts, 3082 and 981824, that added together give a triangular number (984906 = T₁₄₀₃).

The spelling of 3082981824 in words is "three billion, eighty-two million, nine hundred eighty-one thousand, eight hundred twenty-four".