3645034400 has 144 divisors (see below), whose sum is σ = 10195222464. Its totient is φ = 1246586880.

The previous prime is 3645034373. The next prime is 3645034403. The reversal of 3645034400 is 44305463.

It is not an unprimeable number, because it can be changed into a prime (3645034403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3824324 + ... + 3825276.

It is an arithmetic number, because the mean of its divisors is an integer number (70800156).

Almost surely, 2^3645034400 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 3645034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097611232).

3645034400 is an abundant number, since it is smaller than the sum of its proper divisors (6550188064).

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

3645034400 is a wasteful number, since it uses less digits than its factorization.

3645034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 3645034400 is about 60374.1202834460. The cubic root of 3645034400 is about 1538.9831934072.

Adding to 3645034400 its reverse (44305463), we get a palindrome (3689339863).

The spelling of 3645034400 in words is "three billion, six hundred forty-five million, thirty-four thousand, four hundred".