3630144540 has 96 divisors (see below), whose sum is σ = 11106740736. Its totient is φ = 878583040.

The previous prime is 3630144467. The next prime is 3630144559. The reversal of 3630144540 is 454410363.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3630144498 and 3630144507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426769 + ... + 435191.

It is an arithmetic number, because the mean of its divisors is an integer number (115695216).

Almost surely, 2^3630144540 is an apocalyptic number.

3630144540 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 3630144540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553370368).

3630144540 is an abundant number, since it is smaller than the sum of its proper divisors (7476596196).

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

3630144540 is a wasteful number, since it uses less digits than its factorization.

3630144540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9099 (or 9097 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3630144540 is about 60250.6808260288. The cubic root of 3630144540 is about 1536.8847662061.

The spelling of 3630144540 in words is "three billion, six hundred thirty million, one hundred forty-four thousand, five hundred forty".