3681288000 has 1120 divisors, whose sum is σ = 16109533440. Its totient is φ = 821145600.

The previous prime is 3681287971. The next prime is 3681288011. The reversal of 3681288000 is 8821863.

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 159 ways as a sum of consecutive naturals, for example, 160055989 + ... + 160056011.

It is an arithmetic number, because the mean of its divisors is an integer number (14383512).

Almost surely, 2^3681288000 is an apocalyptic number.

3681288000 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 3681288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8054766720).

3681288000 is an abundant number, since it is smaller than the sum of its proper divisors (12428245440).

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

3681288000 is a wasteful number, since it uses less digits than its factorization.

3681288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 3681288000 is about 60673.6186492944. The cubic root of 3681288000 is about 1544.0686251904.

The spelling of 3681288000 in words is "three billion, six hundred eighty-one million, two hundred eighty-eight thousand".