3869833968 has 800 divisors, whose sum is σ = 15930647040. Its totient is φ = 873400320.

The previous prime is 3869833963. The next prime is 3869833997. The reversal of 3869833968 is 8693389683.

It is a super-2 number, since 2×3869833968² = 29951229879773250048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3869833963) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24648546 + ... + 24648702.

Almost surely, 2^3869833968 is an apocalyptic number.

3869833968 is a gapful number since it is divisible by the number (38) 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 3869833968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965323520).

3869833968 is an abundant number, since it is smaller than the sum of its proper divisors (12060813072).

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

3869833968 is a wasteful number, since it uses less digits than its factorization.

3869833968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The square root of 3869833968 is about 62207.9895833325. The cubic root of 3869833968 is about 1569.9920169445.

The spelling of 3869833968 in words is "three billion, eight hundred sixty-nine million, eight hundred thirty-three thousand, nine hundred sixty-eight".