3667894272 has 448 divisors, whose sum is σ = 13085429760. Its totient is φ = 992673792.

The previous prime is 3667894267. The next prime is 3667894303. The reversal of 3667894272 is 2724987663.

3667894272 is a `hidden beast` number, since 366 + 7 + 8 + 9 + 4 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (6096384) is a multiple of the sum of its prime factors (168).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35610573 + ... + 35610675.

Almost surely, 2^3667894272 is an apocalyptic number.

3667894272 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 3667894272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6542714880).

3667894272 is an abundant number, since it is smaller than the sum of its proper divisors (9417535488).

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

3667894272 is a wasteful number, since it uses less digits than its factorization.

3667894272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 138 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 3667894272 is about 60563.1428510773. The cubic root of 3667894272 is about 1542.1937408918.

The spelling of 3667894272 in words is "three billion, six hundred sixty-seven million, eight hundred ninety-four thousand, two hundred seventy-two".