3847661408 has 48 divisors (see below), whose sum is σ = 8098665120. Its totient is φ = 1793058816.

The previous prime is 3847661407. The next prime is 3847661423. The reversal of 3847661408 is 8041667483.

It is a happy number.

3847661408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3847661408² = 29608996621225084928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3847661407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21698 + ... + 90366.

It is an arithmetic number, because the mean of its divisors is an integer number (168722190).

Almost surely, 2^3847661408 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 3847661408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049332560).

3847661408 is an abundant number, since it is smaller than the sum of its proper divisors (4251003712).

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

3847661408 is a wasteful number, since it uses less digits than its factorization.

3847661408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68799 (or 68791 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The square root of 3847661408 is about 62029.5204559893. The cubic root of 3847661408 is about 1566.9878020631.

The spelling of 3847661408 in words is "three billion, eight hundred forty-seven million, six hundred sixty-one thousand, four hundred eight".