3669782112 has 432 divisors, whose sum is σ = 12165334272. Its totient is φ = 1085736960.

The previous prime is 3669782101. The next prime is 3669782131. The reversal of 3669782112 is 2112879663.

3669782112 is a `hidden beast` number, since 366 + 9 + 78 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 71 ways as a sum of consecutive naturals, for example, 51687037 + ... + 51687107.

It is an arithmetic number, because the mean of its divisors is an integer number (28160496).

Almost surely, 2^3669782112 is an apocalyptic number.

3669782112 is a gapful number since it is divisible by the number (32) 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 3669782112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082667136).

3669782112 is an abundant number, since it is smaller than the sum of its proper divisors (8495552160).

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

3669782112 is a wasteful number, since it uses less digits than its factorization.

3669782112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 116 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 3669782112 is about 60578.7265630436. The cubic root of 3669782112 is about 1542.4582810215.

The spelling of 3669782112 in words is "three billion, six hundred sixty-nine million, seven hundred eighty-two thousand, one hundred twelve".