3628117560 has 192 divisors, whose sum is σ = 11637756000. Its totient is φ = 904658944.

The previous prime is 3628117531. The next prime is 3628117607. The reversal of 3628117560 is 657118263.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8080216 + ... + 8080664.

Almost surely, 2^3628117560 is an apocalyptic number.

3628117560 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 3628117560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818878000).

3628117560 is an abundant number, since it is smaller than the sum of its proper divisors (8009638440).

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

3628117560 is a wasteful number, since it uses less digits than its factorization.

3628117560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 3628117560 is about 60233.8572565297. The cubic root of 3628117560 is about 1536.5986605473.

The spelling of 3628117560 in words is "three billion, six hundred twenty-eight million, one hundred seventeen thousand, five hundred sixty".