3667664112 has 120 divisors (see below), whose sum is σ = 11161785600. Its totient is φ = 1034587008.

The previous prime is 3667664093. The next prime is 3667664131. The reversal of 3667664112 is 2114667663.

3667664112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3667664093) and next prime (3667664131).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175939 + ... + 195677.

It is an arithmetic number, because the mean of its divisors is an integer number (93014880).

Almost surely, 2^3667664112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3667664112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580892800).

3667664112 is an abundant number, since it is smaller than the sum of its proper divisors (7494121488).

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

3667664112 is a wasteful number, since it uses less digits than its factorization.

3667664112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19843 (or 19830 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 3667664112 is about 60561.2426556787. The cubic root of 3667664112 is about 1542.1614827159.

The spelling of 3667664112 in words is "three billion, six hundred sixty-seven million, six hundred sixty-four thousand, one hundred twelve".