3667121872 has 80 divisors (see below), whose sum is σ = 7519786560. Its totient is φ = 1730534400.

The previous prime is 3667121851. The next prime is 3667121879. The reversal of 3667121872 is 2781217663.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667121879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2475372 + ... + 2476852.

It is an arithmetic number, because the mean of its divisors is an integer number (93997332).

Almost surely, 2^3667121872 is an apocalyptic number.

It is an amenable number.

3667121872 is an abundant number, since it is smaller than the sum of its proper divisors (3852664688).

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

3667121872 is a wasteful number, since it uses less digits than its factorization.

3667121872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1646 counting only the distinct ones).

The product of its digits is 169344, while the sum is 43.

The square root of 3667121872 is about 60556.7656996310. The cubic root of 3667121872 is about 1542.0854794951.

The spelling of 3667121872 in words is "three billion, six hundred sixty-seven million, one hundred twenty-one thousand, eight hundred seventy-two".