3618648000 has 448 divisors, whose sum is σ = 14492874240. Its totient is φ = 876672000.

The previous prime is 3618647971. The next prime is 3618648013. The reversal of 3618648000 is 8468163.

It is a happy number.

3618648000 is a `hidden beast` number, since 3 + 6 + 1 + 8 + 648 + 0 + 0 + 0 = 666.

3618648000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3618648000² = 26189226695808000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2375239 + ... + 2376761.

Almost surely, 2^3618648000 is an apocalyptic number.

3618648000 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 3618648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7246437120).

3618648000 is an abundant number, since it is smaller than the sum of its proper divisors (10874226240).

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

3618648000 is a wasteful number, since it uses less digits than its factorization.

3618648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3618648000 is about 60155.1992765380. The cubic root of 3618648000 is about 1535.2606304821.

The spelling of 3618648000 in words is "three billion, six hundred eighteen million, six hundred forty-eight thousand".