3667003344 has 180 divisors, whose sum is σ = 11305678176. Its totient is φ = 1107292032.

The previous prime is 3667003337. The next prime is 3667003369. The reversal of 3667003344 is 4433007663.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3667003299 and 3667003308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1194099 + ... + 1197165.

Almost surely, 2^3667003344 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 3667003344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652839088).

3667003344 is an abundant number, since it is smaller than the sum of its proper divisors (7638674832).

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

3667003344 is a wasteful number, since it uses less digits than its factorization.

3667003344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 3667003344 is about 60555.7870397207. The cubic root of 3667003344 is about 1542.0688649871.

The spelling of 3667003344 in words is "three billion, six hundred sixty-seven million, three thousand, three hundred forty-four".