3628933560 has 768 divisors, whose sum is σ = 15527116800. Its totient is φ = 715309056.

The previous prime is 3628933541. The next prime is 3628933579. The reversal of 3628933560 is 653398263.

3628933560 is a `hidden beast` number, since 3 + 6 + 2 + 89 + 3 + 3 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (3628933541) and next prime (3628933579).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28574217 + ... + 28574343.

It is an arithmetic number, because the mean of its divisors is an integer number (20217600).

Almost surely, 2^3628933560 is an apocalyptic number.

3628933560 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 3628933560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7763558400).

3628933560 is an abundant number, since it is smaller than the sum of its proper divisors (11898183240).

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

3628933560 is a wasteful number, since it uses less digits than its factorization.

3628933560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3628933560 is about 60240.6304747884. The cubic root of 3628933560 is about 1536.7138507247.

The spelling of 3628933560 in words is "three billion, six hundred twenty-eight million, nine hundred thirty-three thousand, five hundred sixty".