3988885076352 has 384 divisors, whose sum is σ = 13240260633600. Its totient is φ = 1139983994880.

The previous prime is 3988885076291. The next prime is 3988885076357. The reversal of 3988885076352 is 2536705888893.

3988885076352 is a `hidden beast` number, since 3 + 9 + 8 + 8 + 8 + 8 + 507 + 63 + 52 = 666.

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

It is a super-2 number, since 2×3988885076352² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3988885076357) 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 47 ways as a sum of consecutive naturals, for example, 53654118 + ... + 53728410.

It is an arithmetic number, because the mean of its divisors is an integer number (34479845400).

Almost surely, 2^{3988885076352} is an apocalyptic number.

3988885076352 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 3988885076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6620130316800).

3988885076352 is an abundant number, since it is smaller than the sum of its proper divisors (9251375557248).

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

3988885076352 is a wasteful number, since it uses less digits than its factorization.

3988885076352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74566 (or 74551 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 3988885076352 in words is "three trillion, nine hundred eighty-eight billion, eight hundred eighty-five million, seventy-six thousand, three hundred fifty-two".