3664237104 has 120 divisors (see below), whose sum is σ = 11234995200. Its totient is φ = 1105614720.

The previous prime is 3664237099. The next prime is 3664237123. The reversal of 3664237104 is 4017324663.

It is a happy number.

3664237104 is a `hidden beast` number, since 3 + 6 + 642 + 3 + 7 + 1 + 0 + 4 = 666.

3664237104 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373737 + ... + 383415.

It is an arithmetic number, because the mean of its divisors is an integer number (93624960).

Almost surely, 2^3664237104 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 3664237104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617497600).

3664237104 is an abundant number, since it is smaller than the sum of its proper divisors (7570758096).

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

3664237104 is a wasteful number, since it uses less digits than its factorization.

3664237104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9943 (or 9934 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3664237104 is about 60532.9423041702. The cubic root of 3664237104 is about 1541.6810091769.

The spelling of 3664237104 in words is "three billion, six hundred sixty-four million, two hundred thirty-seven thousand, one hundred four".