3883607732160 has 672 divisors, whose sum is σ = 14637035544768. Its totient is φ = 939350753280.

The previous prime is 3883607732131. The next prime is 3883607732167. The reversal of 3883607732160 is 612377063883.

3883607732160 is a `hidden beast` number, since 3 + 8 + 8 + 3 + 607 + 7 + 3 + 21 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3883607732097 and 3883607732106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3883607732167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 773470450 + ... + 773475470.

It is an arithmetic number, because the mean of its divisors is an integer number (21781302894).

Almost surely, 2^{3883607732160} is an apocalyptic number.

3883607732160 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 3883607732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7318517772384).

3883607732160 is an abundant number, since it is smaller than the sum of its proper divisors (10753427812608).

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

3883607732160 is a wasteful number, since it uses less digits than its factorization.

3883607732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5413 (or 5400 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 3883607732160 in words is "three trillion, eight hundred eighty-three billion, six hundred seven million, seven hundred thirty-two thousand, one hundred sixty".