3081830400 has 612 divisors, whose sum is σ = 12677187120. Its totient is φ = 707788800.

The previous prime is 3081830399. The next prime is 3081830407. The reversal of 3081830400 is 40381803.

It is a super-2 number, since 2×3081830400² = 18995357228728320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3081830407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 162201591 + ... + 162201609.

Almost surely, 2^3081830400 is an apocalyptic number.

3081830400 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 3081830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338593560).

3081830400 is an abundant number, since it is smaller than the sum of its proper divisors (9595356720).

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

3081830400 is a wasteful number, since it uses less digits than its factorization.

3081830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3081830400 is about 55514.2360120357. The cubic root of 3081830400 is about 1455.2454327889.

The spelling of 3081830400 in words is "three billion, eighty-one million, eight hundred thirty thousand, four hundred".