3943884672 has 384 divisors, whose sum is σ = 14796250560. Its totient is φ = 978518016.

The previous prime is 3943884661. The next prime is 3943884683. The reversal of 3943884672 is 2764883493.

It is an interprime number because it is at equal distance from previous prime (3943884661) and next prime (3943884683).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1781038 + ... + 1783250.

Almost surely, 2^3943884672 is an apocalyptic number.

3943884672 is a gapful number since it is divisible by the number (32) 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 3943884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7398125280).

3943884672 is an abundant number, since it is smaller than the sum of its proper divisors (10852365888).

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

3943884672 is a wasteful number, since it uses less digits than its factorization.

3943884672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2255 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 3943884672 is about 62800.3556677826. The cubic root of 3943884672 is about 1579.9429387073.

The spelling of 3943884672 in words is "three billion, nine hundred forty-three million, eight hundred eighty-four thousand, six hundred seventy-two".