3667091041152 has 768 divisors, whose sum is σ = 13636151193600. Its totient is φ = 918002073600.

The previous prime is 3667091041109. The next prime is 3667091041171. The reversal of 3667091041152 is 2511401907663.

3667091041152 is a `hidden beast` number, since 36 + 6 + 70 + 91 + 0 + 411 + 52 = 666.

3667091041152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3667091041098 and 3667091041107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 706702174 + ... + 706707362.

It is an arithmetic number, because the mean of its divisors is an integer number (17755405200).

Almost surely, 2^{3667091041152} is an apocalyptic number.

3667091041152 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 3667091041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6818075596800).

3667091041152 is an abundant number, since it is smaller than the sum of its proper divisors (9969060152448).

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

3667091041152 is a wasteful number, since it uses less digits than its factorization.

3667091041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 3667091041152 in words is "three trillion, six hundred sixty-seven billion, ninety-one million, forty-one thousand, one hundred fifty-two".