3661233210 has 80 divisors (see below), whose sum is σ = 9916808616. Its totient is φ = 969172992.

The previous prime is 3661233197. The next prime is 3661233227. The reversal of 3661233210 is 123321663.

It is a happy number.

3661233210 is a `hidden beast` number, since 3 + 6 + 612 + 3 + 32 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2172585321 + 1488647889 = 46611^2 + 38583^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 94474 + ... + 127466.

Almost surely, 2^3661233210 is an apocalyptic number.

3661233210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3661233210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958404308).

3661233210 is an abundant number, since it is smaller than the sum of its proper divisors (6255575406).

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

3661233210 is a wasteful number, since it uses less digits than its factorization.

3661233210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33149 (or 33140 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3661233210 is about 60508.1251568746. The cubic root of 3661233210 is about 1541.2596106457.

Adding to 3661233210 its reverse (123321663), we get a palindrome (3784554873).

The spelling of 3661233210 in words is "three billion, six hundred sixty-one million, two hundred thirty-three thousand, two hundred ten".