3888518400 has 540 divisors, whose sum is σ = 15510430012. Its totient is φ = 955514880.

The previous prime is 3888518393. The next prime is 3888518419. The reversal of 3888518400 is 48158883.

It can be written as a sum of positive squares in 6 ways, for example, as 746496 + 3887771904 = 864^2 + 62352^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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 59 ways as a sum of consecutive naturals, for example, 6738912 + ... + 6739488.

Almost surely, 2^3888518400 is an apocalyptic number.

3888518400 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 3888518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755215006).

3888518400 is an abundant number, since it is smaller than the sum of its proper divisors (11621911612).

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

3888518400 is a wasteful number, since it uses less digits than its factorization.

3888518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 3888518400 is about 62357.9858558629. The cubic root of 3888518400 is about 1572.5147198567.

The spelling of 3888518400 in words is "three billion, eight hundred eighty-eight million, five hundred eighteen thousand, four hundred".