3630661500 has 96 divisors (see below), whose sum is σ = 10681909056. Its totient is φ = 958156800.

The previous prime is 3630661487. The next prime is 3630661543. The reversal of 3630661500 is 51660363.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133024 + ... + 157976.

It is an arithmetic number, because the mean of its divisors is an integer number (111269886).

Almost surely, 2^3630661500 is an apocalyptic number.

3630661500 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 3630661500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340954528).

3630661500 is an abundant number, since it is smaller than the sum of its proper divisors (7051247556).

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

3630661500 is a wasteful number, since it uses less digits than its factorization.

3630661500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25072 (or 25060 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 3630661500 is about 60254.9707493083. The cubic root of 3630661500 is about 1536.9577174094.

The spelling of 3630661500 in words is "three billion, six hundred thirty million, six hundred sixty-one thousand, five hundred".