3667836480 has 672 divisors, whose sum is σ = 15291694080. Its totient is φ = 723394560.

The previous prime is 3667836467. The next prime is 3667836481. The reversal of 3667836480 is 846387663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (3667836481) 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 95 ways as a sum of consecutive naturals, for example, 62166691 + ... + 62166749.

Almost surely, 2^3667836480 is an apocalyptic number.

3667836480 is a gapful number since it is divisible by the number (30) 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 3667836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7645847040).

3667836480 is an abundant number, since it is smaller than the sum of its proper divisors (11623857600).

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

3667836480 is a wasteful number, since it uses less digits than its factorization.

3667836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The square root of 3667836480 is about 60562.6657273274. The cubic root of 3667836480 is about 1542.1856411555.

The spelling of 3667836480 in words is "three billion, six hundred sixty-seven million, eight hundred thirty-six thousand, four hundred eighty".