3045442400 has 288 divisors, whose sum is σ = 9984860928. Its totient is φ = 875980800.

The previous prime is 3045442369. The next prime is 3045442423. The reversal of 3045442400 is 42445403.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3045442400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 798899 + ... + 802701.

It is an arithmetic number, because the mean of its divisors is an integer number (34669656).

Almost surely, 2^3045442400 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 3045442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992430464).

3045442400 is an abundant number, since it is smaller than the sum of its proper divisors (6939418528).

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

3045442400 is a wasteful number, since it uses less digits than its factorization.

3045442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 3045442400 is about 55185.5270881777. The cubic root of 3045442400 is about 1449.4952503955.

Adding to 3045442400 its reverse (42445403), we get a palindrome (3087887803).

The spelling of 3045442400 in words is "three billion, forty-five million, four hundred forty-two thousand, four hundred".