3807638223552 has 168 divisors, whose sum is σ = 11039215889520. Its totient is φ = 1254679603200.

The previous prime is 3807638223551. The next prime is 3807638223581. The reversal of 3807638223552 is 2553228367083.

It is a happy number.

3807638223552 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 6 + 3 + 82 + 2 + 3 + 552 = 666.

3807638223552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3807638223551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37356274 + ... + 37458062.

It is an arithmetic number, because the mean of its divisors is an integer number (65709618390).

Almost surely, 2^{3807638223552} is an apocalyptic number.

3807638223552 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 3807638223552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519607944760).

3807638223552 is an abundant number, since it is smaller than the sum of its proper divisors (7231577665968).

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

3807638223552 is a wasteful number, since it uses less digits than its factorization.

3807638223552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102551 (or 102538 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3807638223552 in words is "three trillion, eight hundred seven billion, six hundred thirty-eight million, two hundred twenty-three thousand, five hundred fifty-two".