3840716880 has 720 divisors, whose sum is σ = 17558626176. Its totient is φ = 726589440.

The previous prime is 3840716863. The next prime is 3840716881. The reversal of 3840716880 is 886170483.

3840716880 is a `hidden beast` number, since 3 + 8 + 407 + 168 + 80 = 666.

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

It is a super-2 number, since 2×3840716880² = 29502212304633868800, 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 not an unprimeable number, because it can be changed into a prime (3840716881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52612524 + ... + 52612596.

Almost surely, 2^3840716880 is an apocalyptic number.

3840716880 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 3840716880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8779313088).

3840716880 is an abundant number, since it is smaller than the sum of its proper divisors (13717909296).

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

3840716880 is a wasteful number, since it uses less digits than its factorization.

3840716880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 114 counting only the distinct ones).

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

The square root of 3840716880 is about 61973.5175700073. The cubic root of 3840716880 is about 1566.0444979845.

The spelling of 3840716880 in words is "three billion, eight hundred forty million, seven hundred sixteen thousand, eight hundred eighty".