3684034944 has 192 divisors, whose sum is σ = 11463270000. Its totient is φ = 1131687936.

The previous prime is 3684034943. The next prime is 3684034957. The reversal of 3684034944 is 4494304863.

It is a happy number.

3684034944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3684034944² = 27144226937226166272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3684034944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3684034943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807582 + ... + 812130.

Almost surely, 2^3684034944 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 3684034944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731635000).

3684034944 is an abundant number, since it is smaller than the sum of its proper divisors (7779235056).

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

3684034944 is a wasteful number, since it uses less digits than its factorization.

3684034944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4625 (or 4610 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 3684034944 is about 60696.2514822785. The cubic root of 3684034944 is about 1544.4525864109.

The spelling of 3684034944 in words is "three billion, six hundred eighty-four million, thirty-four thousand, nine hundred forty-four".