3868000344 has 384 divisors, whose sum is σ = 12901939200. Its totient is φ = 1067489280.

The previous prime is 3868000337. The next prime is 3868000349. The reversal of 3868000344 is 4430008683.

It is a super-2 number, since 2×3868000344² = 29922853322368236672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3868000299 and 3868000308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3868000349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14272929 + ... + 14273199.

It is an arithmetic number, because the mean of its divisors is an integer number (33598800).

Almost surely, 2^3868000344 is an apocalyptic number.

3868000344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3868000344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6450969600).

3868000344 is an abundant number, since it is smaller than the sum of its proper divisors (9033938856).

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

3868000344 is a wasteful number, since it uses less digits than its factorization.

3868000344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3868000344 is about 62193.2499874383. The cubic root of 3868000344 is about 1569.7440106249.

The spelling of 3868000344 in words is "three billion, eight hundred sixty-eight million, three hundred forty-four", and thus it is an aban number.