3887308800 has 672 divisors, whose sum is σ = 15439339200. Its totient is φ = 955514880.

The previous prime is 3887308787. The next prime is 3887308813. The reversal of 3887308800 is 88037883.

It is an interprime number because it is at equal distance from previous prime (3887308787) and next prime (3887308813).

It is a super-2 number, since 2×3887308800² = 30222339413114880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105062382 + ... + 105062418.

Almost surely, 2^3887308800 is an apocalyptic number.

3887308800 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 3887308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7719669600).

3887308800 is an abundant number, since it is smaller than the sum of its proper divisors (11552030400).

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

3887308800 is a wasteful number, since it uses less digits than its factorization.

3887308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3887308800 is about 62348.2862635373. The cubic root of 3887308800 is about 1572.3516490867.

The spelling of 3887308800 in words is "three billion, eight hundred eighty-seven million, three hundred eight thousand, eight hundred".