3667211712 has 224 divisors, whose sum is σ = 11786250240. Its totient is φ = 1113108480.

The previous prime is 3667211711. The next prime is 3667211719. The reversal of 3667211712 is 2171127663.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667211711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 908643 + ... + 912669.

Almost surely, 2^3667211712 is an apocalyptic number.

3667211712 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 3667211712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5893125120).

3667211712 is an abundant number, since it is smaller than the sum of its proper divisors (8119038528).

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

3667211712 is a wasteful number, since it uses less digits than its factorization.

3667211712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4080 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 3667211712 is about 60557.5074784291. The cubic root of 3667211712 is about 1542.0980724615.

It can be divided in two parts, 36672 and 11712, that added together give a palindrome (48384).

The spelling of 3667211712 in words is "three billion, six hundred sixty-seven million, two hundred eleven thousand, seven hundred twelve".