3896714880 has 384 divisors, whose sum is σ = 14078937600. Its totient is φ = 992010240.

The previous prime is 3896714867. The next prime is 3896714893. The reversal of 3896714880 is 884176983.

3896714880 is a `hidden beast` number, since 3 + 8 + 96 + 71 + 488 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3896714867) and next prime (3896714893).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24819762 + ... + 24819918.

It is an arithmetic number, because the mean of its divisors is an integer number (36663900).

Almost surely, 2^3896714880 is an apocalyptic number.

3896714880 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 3896714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7039468800).

3896714880 is an abundant number, since it is smaller than the sum of its proper divisors (10182222720).

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

3896714880 is a wasteful number, since it uses less digits than its factorization.

3896714880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 3896714880 is about 62423.6724328199. The cubic root of 3896714880 is about 1573.6188284619.

The spelling of 3896714880 in words is "three billion, eight hundred ninety-six million, seven hundred fourteen thousand, eight hundred eighty".