3669732000 has 384 divisors, whose sum is σ = 14576889600. Its totient is φ = 889344000.

The previous prime is 3669731999. The next prime is 3669732023. The reversal of 3669732000 is 2379663.

3669732000 is a `hidden beast` number, since 366 + 97 + 3 + 200 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1186456 + ... + 1189544.

It is an arithmetic number, because the mean of its divisors is an integer number (37960650).

Almost surely, 2^3669732000 is an apocalyptic number.

3669732000 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 3669732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7288444800).

3669732000 is an abundant number, since it is smaller than the sum of its proper divisors (10907157600).

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

3669732000 is a wasteful number, since it uses less digits than its factorization.

3669732000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3669732000 is about 60578.3129510884. The cubic root of 3669732000 is about 1542.4512600759.

The spelling of 3669732000 in words is "three billion, six hundred sixty-nine million, seven hundred thirty-two thousand".