3636672000 has 640 divisors, whose sum is σ = 13727121408. Its totient is φ = 847872000.

The previous prime is 3636671989. The next prime is 3636672001. The reversal of 3636672000 is 2766363.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3636672001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77375977 + ... + 77376023.

Almost surely, 2^3636672000 is an apocalyptic number.

3636672000 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 3636672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863560704).

3636672000 is an abundant number, since it is smaller than the sum of its proper divisors (10090449408).

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

3636672000 is a wasteful number, since it uses less digits than its factorization.

3636672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 3636672000 is about 60304.8256775525. The cubic root of 3636672000 is about 1537.8053858322.

The spelling of 3636672000 in words is "three billion, six hundred thirty-six million, six hundred seventy-two thousand".