3667296384 has 160 divisors (see below), whose sum is σ = 11291078700. Its totient is φ = 1180182528.

The previous prime is 3667296379. The next prime is 3667296421. The reversal of 3667296384 is 4836927663.

It can be written as a sum of positive squares in 2 ways, for example, as 3614414400 + 52881984 = 60120^2 + 7272^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3667296384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 294574 + ... + 306770.

Almost surely, 2^3667296384 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 3667296384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645539350).

3667296384 is an abundant number, since it is smaller than the sum of its proper divisors (7623782316).

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

3667296384 is a wasteful number, since it uses less digits than its factorization.

3667296384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12252 (or 12231 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 3667296384 is about 60558.2065784647. The cubic root of 3667296384 is about 1542.1099408358.

The spelling of 3667296384 in words is "three billion, six hundred sixty-seven million, two hundred ninety-six thousand, three hundred eighty-four".