3667084480 has 112 divisors (see below), whose sum is σ = 8858341440. Its totient is φ = 1445838848.

The previous prime is 3667084459. The next prime is 3667084483. The reversal of 3667084480 is 844807663.

It is a self number, because there is not a number n which added to its sum of digits gives 3667084480.

It is not an unprimeable number, because it can be changed into a prime (3667084483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10214541 + ... + 10214899.

Almost surely, 2^3667084480 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 3667084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429170720).

3667084480 is an abundant number, since it is smaller than the sum of its proper divisors (5191256960).

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

3667084480 is a wasteful number, since it uses less digits than its factorization.

3667084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The square root of 3667084480 is about 60556.4569637293. The cubic root of 3667084480 is about 1542.0802381588.

The spelling of 3667084480 in words is "three billion, six hundred sixty-seven million, eighty-four thousand, four hundred eighty".