3643272000 has 448 divisors, whose sum is σ = 13579937280. Its totient is φ = 956160000.

The previous prime is 3643271981. The next prime is 3643272067. The reversal of 3643272000 is 2723463.

3643272000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 21815917 + ... + 21816083.

It is an arithmetic number, because the mean of its divisors is an integer number (30312360).

Almost surely, 2^3643272000 is an apocalyptic number.

3643272000 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 3643272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789968640).

3643272000 is an abundant number, since it is smaller than the sum of its proper divisors (9936665280).

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

3643272000 is a wasteful number, since it uses less digits than its factorization.

3643272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3643272000 is about 60359.5228609372. The cubic root of 3643272000 is about 1538.7351169888.

Adding to 3643272000 its reverse (2723463), we get a palindrome (3645995463).

The spelling of 3643272000 in words is "three billion, six hundred forty-three million, two hundred seventy-two thousand".