3630900960 has 288 divisors, whose sum is σ = 12853844640. Its totient is φ = 932659200.

The previous prime is 3630900943. The next prime is 3630900961. The reversal of 3630900960 is 690090363.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3630900961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5254215 + ... + 5254905.

It is an arithmetic number, because the mean of its divisors is an integer number (44631405).

Almost surely, 2^3630900960 is an apocalyptic number.

3630900960 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 3630900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426922320).

3630900960 is an abundant number, since it is smaller than the sum of its proper divisors (9222943680).

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

3630900960 is a wasteful number, since it uses less digits than its factorization.

3630900960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 3630900960 is about 60256.9577725262. The cubic root of 3630900960 is about 1536.9915066426.

The spelling of 3630900960 in words is "three billion, six hundred thirty million, nine hundred thousand, nine hundred sixty".