3630857440 has 192 divisors, whose sum is σ = 10431590400. Its totient is φ = 1166524416.

The previous prime is 3630857411. The next prime is 3630857443. The reversal of 3630857440 is 447580363.

3630857440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3630857393 and 3630857402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3630857443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2063281 + ... + 2065039.

It is an arithmetic number, because the mean of its divisors is an integer number (54331200).

Almost surely, 2^3630857440 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 3630857440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215795200).

3630857440 is an abundant number, since it is smaller than the sum of its proper divisors (6800732960).

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

3630857440 is a wasteful number, since it uses less digits than its factorization.

3630857440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 3630857440 is about 60256.5966513211. The cubic root of 3630857440 is about 1536.9853658217.

The spelling of 3630857440 in words is "three billion, six hundred thirty million, eight hundred fifty-seven thousand, four hundred forty".