3042534400 has 132 divisors (see below), whose sum is σ = 7599864148. Its totient is φ = 1207664640.

The previous prime is 3042534371. The next prime is 3042534419. The reversal of 3042534400 is 44352403.

It can be written as a sum of positive squares in 6 ways, for example, as 107495424 + 2935038976 = 10368^2 + 54176^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4018822 + ... + 4019578.

Almost surely, 2^3042534400 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 3042534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799932074).

3042534400 is an abundant number, since it is smaller than the sum of its proper divisors (4557329748).

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

3042534400 is a wasteful number, since it uses less digits than its factorization.

3042534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 3042534400 is about 55159.1733078008. The cubic root of 3042534400 is about 1449.0337438796.

Adding to 3042534400 its reverse (44352403), we get a palindrome (3086886803).

The spelling of 3042534400 in words is "three billion, forty-two million, five hundred thirty-four thousand, four hundred".