3667334112 has 288 divisors, whose sum is σ = 12000223872. Its totient is φ = 1052393472.

The previous prime is 3667334101. The next prime is 3667334119. The reversal of 3667334112 is 2114337663.

3667334112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667334119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9992553 + ... + 9992919.

It is an arithmetic number, because the mean of its divisors is an integer number (41667444).

Almost surely, 2^3667334112 is an apocalyptic number.

3667334112 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 3667334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6000111936).

3667334112 is an abundant number, since it is smaller than the sum of its proper divisors (8332889760).

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

3667334112 is a wasteful number, since it uses less digits than its factorization.

3667334112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 559 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3667334112 is about 60558.5180796228. The cubic root of 3667334112 is about 1542.1152290661.

The spelling of 3667334112 in words is "three billion, six hundred sixty-seven million, three hundred thirty-four thousand, one hundred twelve".