3885505708032 has 1176 divisors, whose sum is σ = 13863141188064. Its totient is φ = 1076291960832.

The previous prime is 3885505707983. The next prime is 3885505708039. The reversal of 3885505708032 is 2308075055883.

It is a happy number.

3885505708032 is a `hidden beast` number, since 3 + 8 + 8 + 550 + 5 + 7 + 0 + 80 + 3 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3885505708032.

It is not an unprimeable number, because it can be changed into a prime (3885505708039) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 168935030773 + ... + 168935030795.

It is an arithmetic number, because the mean of its divisors is an integer number (11788385364).

Almost surely, 2^{3885505708032} is an apocalyptic number.

3885505708032 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 3885505708032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931570594032).

3885505708032 is an abundant number, since it is smaller than the sum of its proper divisors (9977635480032).

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

3885505708032 is an frugal number, since it uses more digits than its factorization.

3885505708032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 3885505708032 in words is "three trillion, eight hundred eighty-five billion, five hundred five million, seven hundred eight thousand, thirty-two".