3887896320 has 720 divisors, whose sum is σ = 17379952128. Its totient is φ = 806215680.

The previous prime is 3887896291. The next prime is 3887896321. The reversal of 3887896320 is 236987883.

3887896320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3887896321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7983117 + ... + 7983603.

Almost surely, 2^3887896320 is an apocalyptic number.

3887896320 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 3887896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8689976064).

3887896320 is an abundant number, since it is smaller than the sum of its proper divisors (13492055808).

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

3887896320 is a wasteful number, since it uses less digits than its factorization.

3887896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3887896320 is about 62352.9976825493. The cubic root of 3887896320 is about 1572.4308591137.

The spelling of 3887896320 in words is "three billion, eight hundred eighty-seven million, eight hundred ninety-six thousand, three hundred twenty".