3627137680 has 80 divisors (see below), whose sum is σ = 9097815024. Its totient is φ = 1339719680.

The previous prime is 3627137659. The next prime is 3627137711. The reversal of 3627137680 is 867317263.

It can be written as a sum of positive squares in 8 ways, for example, as 305690256 + 3321447424 = 17484^2 + 57632^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3627137680² = 26312255499351564800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46920 + ... + 97240.

Almost surely, 2^3627137680 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 3627137680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548907512).

3627137680 is an abundant number, since it is smaller than the sum of its proper divisors (5470677344).

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

3627137680 is a wasteful number, since it uses less digits than its factorization.

3627137680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50404 (or 50398 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The square root of 3627137680 is about 60225.7227436915. The cubic root of 3627137680 is about 1536.4603135173.

The spelling of 3627137680 in words is "three billion, six hundred twenty-seven million, one hundred thirty-seven thousand, six hundred eighty".