3645432000 has 448 divisors, whose sum is σ = 15291694080. Its totient is φ = 832896000.

The previous prime is 3645431987. The next prime is 3645432013. The reversal of 3645432000 is 2345463.

3645432000 is a `hidden beast` number, since 3 + 6 + 454 + 3 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3645431987) and next prime (3645432013).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1510795 + ... + 1513205.

Almost surely, 2^3645432000 is an apocalyptic number.

3645432000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3645432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7645847040).

3645432000 is an abundant number, since it is smaller than the sum of its proper divisors (11646262080).

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

3645432000 is a wasteful number, since it uses less digits than its factorization.

3645432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3645432000 is about 60377.4129952584. The cubic root of 3645432000 is about 1539.0391487520.

Adding to 3645432000 its reverse (2345463), we get a palindrome (3647777463).

The spelling of 3645432000 in words is "three billion, six hundred forty-five million, four hundred thirty-two thousand".