3045286400 has 120 divisors (see below), whose sum is σ = 8125758564. Its totient is φ = 1124352000.

The previous prime is 3045286399. The next prime is 3045286403. The reversal of 3045286400 is 46825403.

It can be written as a sum of positive squares in 6 ways, for example, as 38738176 + 3006548224 = 6224^2 + 54832^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3045286403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157250 + ... + 175550.

Almost surely, 2^3045286400 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 3045286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062879282).

3045286400 is an abundant number, since it is smaller than the sum of its proper divisors (5080472164).

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

3045286400 is a wasteful number, since it uses less digits than its factorization.

3045286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18342 (or 18321 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 3045286400 is about 55184.1136560152. The cubic root of 3045286400 is about 1449.4705002837.

The spelling of 3045286400 in words is "three billion, forty-five million, two hundred eighty-six thousand, four hundred".