3888300736800 has 864 divisors, whose sum is σ = 15035934513600. Its totient is φ = 977805250560.

The previous prime is 3888300736763. The next prime is 3888300736813. The reversal of 3888300736800 is 86370038883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 845832102 + ... + 845836698.

Almost surely, 2^{3888300736800} is an apocalyptic number.

3888300736800 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 3888300736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517967256800).

3888300736800 is an abundant number, since it is smaller than the sum of its proper divisors (11147633776800).

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

3888300736800 is a wasteful number, since it uses less digits than its factorization.

3888300736800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4880 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3888300736800 in words is "three trillion, eight hundred eighty-eight billion, three hundred million, seven hundred thirty-six thousand, eight hundred".