3988868274900 has 108 divisors (see below), whose sum is σ = 12507817504000. Its totient is φ = 1063278653760.

The previous prime is 3988868274883. The next prime is 3988868274907. The reversal of 3988868274900 is 94728688893.

3988868274900 is a `hidden beast` number, since 39 + 8 + 8 + 86 + 8 + 27 + 490 + 0 = 666.

3988868274900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3988868274900² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3988868274907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1412301 + ... + 3157899.

Almost surely, 2^{3988868274900} is an apocalyptic number.

3988868274900 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 3988868274900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6253908752000).

3988868274900 is an abundant number, since it is smaller than the sum of its proper divisors (8518949229100).

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

3988868274900 is a wasteful number, since it uses less digits than its factorization.

3988868274900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748158 (or 1748148 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 3988868274900 in words is "three trillion, nine hundred eighty-eight billion, eight hundred sixty-eight million, two hundred seventy-four thousand, nine hundred".