3082682400 has 288 divisors, whose sum is σ = 11526012288. Its totient is φ = 701030400.

The previous prime is 3082682399. The next prime is 3082682413. The reversal of 3082682400 is 42862803.

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 47 ways as a sum of consecutive naturals, for example, 4720474 + ... + 4721126.

It is an arithmetic number, because the mean of its divisors is an integer number (40020876).

Almost surely, 2^3082682400 is an apocalyptic number.

3082682400 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 3082682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5763006144).

3082682400 is an abundant number, since it is smaller than the sum of its proper divisors (8443329888).

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

3082682400 is a wasteful number, since it uses less digits than its factorization.

3082682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3082682400 is about 55521.9091890760. The cubic root of 3082682400 is about 1455.3795257042.

The spelling of 3082682400 in words is "three billion, eighty-two million, six hundred eighty-two thousand, four hundred".