3011306400 has 216 divisors, whose sum is σ = 10748687040. Its totient is φ = 793182720.

The previous prime is 3011306399. The next prime is 3011306401. The reversal of 3011306400 is 46031103.

It is an interprime number because it is at equal distance from previous prime (3011306399) and next prime (3011306401).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3011306401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 595081 + ... + 600119.

It is an arithmetic number, because the mean of its divisors is an integer number (49762440).

Almost surely, 2^3011306400 is an apocalyptic number.

3011306400 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 3011306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374343520).

3011306400 is an abundant number, since it is smaller than the sum of its proper divisors (7737380640).

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

3011306400 is a wasteful number, since it uses less digits than its factorization.

3011306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5148 (or 5132 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3011306400 is about 54875.3715249382. The cubic root of 3011306400 is about 1444.0591489546.

Adding to 3011306400 its reverse (46031103), we get a palindrome (3057337503).

The spelling of 3011306400 in words is "three billion, eleven million, three hundred six thousand, four hundred".