3883644334080 has 832 divisors, whose sum is σ = 15928399457280. Its totient is φ = 879300182016.

The previous prime is 3883644334067. The next prime is 3883644334081. The reversal of 3883644334080 is 804334463883.

3883644334080 is a `hidden beast` number, since 3 + 8 + 83 + 6 + 443 + 3 + 40 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3883644334081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414162352 + ... + 414171728.

Almost surely, 2^{3883644334080} is an apocalyptic number.

3883644334080 is a gapful number since it is divisible by the number (30) 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 3883644334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7964199728640).

3883644334080 is an abundant number, since it is smaller than the sum of its proper divisors (12044755123200).

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

3883644334080 is a wasteful number, since it uses less digits than its factorization.

3883644334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9529 (or 9501 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 3883644334080 in words is "three trillion, eight hundred eighty-three billion, six hundred forty-four million, three hundred thirty-four thousand, eighty".