3667869216 has 288 divisors, whose sum is σ = 11924273088. Its totient is φ = 1099837440.

The previous prime is 3667869209. The next prime is 3667869217. The reversal of 3667869216 is 6129687663.

3667869216 is a `hidden beast` number, since 366 + 7 + 8 + 69 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3919104) is a multiple of the sum of its prime factors (486).

It is not an unprimeable number, because it can be changed into a prime (3667869217) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11718276 + ... + 11718588.

It is an arithmetic number, because the mean of its divisors is an integer number (41403726).

Almost surely, 2^3667869216 is an apocalyptic number.

3667869216 is a gapful number since it is divisible by the number (36) 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 3667869216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962136544).

3667869216 is an abundant number, since it is smaller than the sum of its proper divisors (8256403872).

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

3667869216 is a wasteful number, since it uses less digits than its factorization.

3667869216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 466 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 3667869216 is about 60562.9359922387. The cubic root of 3667869216 is about 1542.1902292225.

The spelling of 3667869216 in words is "three billion, six hundred sixty-seven million, eight hundred sixty-nine thousand, two hundred sixteen".