3667441050 has 576 divisors, whose sum is σ = 13103161344. Its totient is φ = 741830400.

The previous prime is 3667441031. The next prime is 3667441111. The reversal of 3667441050 is 501447663.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3667440996 and 3667441014.

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 287 ways as a sum of consecutive naturals, for example, 34275097 + ... + 34275203.

It is an arithmetic number, because the mean of its divisors is an integer number (22748544).

Almost surely, 2^3667441050 is an apocalyptic number.

3667441050 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 3667441050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551580672).

3667441050 is an abundant number, since it is smaller than the sum of its proper divisors (9435720294).

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

3667441050 is a wasteful number, since it uses less digits than its factorization.

3667441050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3667441050 is about 60559.4010043032. The cubic root of 3667441050 is about 1542.1302180755.

The spelling of 3667441050 in words is "three billion, six hundred sixty-seven million, four hundred forty-one thousand, fifty".