3630802560 has 512 divisors, whose sum is σ = 14805504000. Its totient is φ = 734822400.

The previous prime is 3630802559. The next prime is 3630802573. The reversal of 3630802560 is 652080363.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 6061141 + ... + 6061739.

It is an arithmetic number, because the mean of its divisors is an integer number (28917000).

Almost surely, 2^3630802560 is an apocalyptic number.

3630802560 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 3630802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402752000).

3630802560 is an abundant number, since it is smaller than the sum of its proper divisors (11174701440).

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

3630802560 is a wasteful number, since it uses less digits than its factorization.

3630802560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3630802560 is about 60256.1412637749. The cubic root of 3630802560 is about 1536.9776219960.

The spelling of 3630802560 in words is "three billion, six hundred thirty million, eight hundred two thousand, five hundred sixty".