3034746400 has 108 divisors (see below), whose sum is σ = 8618249178. Its totient is φ = 1040471040.

The previous prime is 3034746389. The next prime is 3034746461. The reversal of 3034746400 is 46474303.

It can be written as a sum of positive squares in 3 ways, for example, as 2220671376 + 814075024 = 47124^2 + 28532^2 .

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 17 ways as a sum of consecutive naturals, for example, 492 + ... + 77908.

Almost surely, 2^3034746400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3034746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309124589).

3034746400 is an abundant number, since it is smaller than the sum of its proper divisors (5583502778).

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

3034746400 is a wasteful number, since it uses less digits than its factorization.

3034746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77451 (or 77431 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 31.

The square root of 3034746400 is about 55088.5323819758. The cubic root of 3034746400 is about 1447.7963196513.

The spelling of 3034746400 in words is "three billion, thirty-four million, seven hundred forty-six thousand, four hundred".