3941638848 has 308 divisors, whose sum is σ = 13498525200. Its totient is φ = 1118624256.

The previous prime is 3941638829. The next prime is 3941638867. The reversal of 3941638848 is 8488361493.

It is an interprime number because it is at equal distance from previous prime (3941638829) and next prime (3941638867).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3941638794 and 3941638803.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 26453878 + ... + 26454026.

Almost surely, 2^3941638848 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 3941638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749262600).

3941638848 is an abundant number, since it is smaller than the sum of its proper divisors (9556886352).

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

3941638848 is an frugal number, since it uses more digits than its factorization.

3941638848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 161 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 3941638848 is about 62782.4724584816. The cubic root of 3941638848 is about 1579.6429850834.

The spelling of 3941638848 in words is "three billion, nine hundred forty-one million, six hundred thirty-eight thousand, eight hundred forty-eight".