3082464000 has 864 divisors, whose sum is σ = 13927979520. Its totient is φ = 635904000.

The previous prime is 3082463999. The next prime is 3082464001. The reversal of 3082464000 is 4642803.

3082464000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3082463999) and next prime (3082464001).

It is a super-2 number, since 2×3082464000² = 19003168622592000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3082464001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22175931 + ... + 22176069.

Almost surely, 2^3082464000 is an apocalyptic number.

3082464000 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 3082464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963989760).

3082464000 is an abundant number, since it is smaller than the sum of its proper divisors (10845515520).

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

3082464000 is a wasteful number, since it uses less digits than its factorization.

3082464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3082464000 is about 55519.9423630825. The cubic root of 3082464000 is about 1455.3451549459.

The spelling of 3082464000 in words is "three billion, eighty-two million, four hundred sixty-four thousand".