3642804000 has 288 divisors, whose sum is σ = 14105145600. Its totient is φ = 883008000.

The previous prime is 3642803993. The next prime is 3642804041. The reversal of 3642804000 is 4082463.

It is a tau number, because it is divible by the number of its divisors (288).

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, 391401 + ... + 400599.

It is an arithmetic number, because the mean of its divisors is an integer number (48976200).

Almost surely, 2^3642804000 is an apocalyptic number.

3642804000 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 3642804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052572800).

3642804000 is an abundant number, since it is smaller than the sum of its proper divisors (10462341600).

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

3642804000 is a wasteful number, since it uses less digits than its factorization.

3642804000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9241 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3642804000 is about 60355.6459662226. The cubic root of 3642804000 is about 1538.6692276022.

Adding to 3642804000 its reverse (4082463), we get a palindrome (3646886463).

The spelling of 3642804000 in words is "three billion, six hundred forty-two million, eight hundred four thousand".