3905871840 has 480 divisors, whose sum is σ = 15060608640. Its totient is φ = 947552256.

The previous prime is 3905871833. The next prime is 3905871887. The reversal of 3905871840 is 481785093.

3905871840 is a `hidden beast` number, since 390 + 5 + 87 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16342441 + ... + 16342679.

It is an arithmetic number, because the mean of its divisors is an integer number (31376268).

Almost surely, 2^3905871840 is an apocalyptic number.

3905871840 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 3905871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530304320).

3905871840 is an abundant number, since it is smaller than the sum of its proper divisors (11154736800).

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

3905871840 is a wasteful number, since it uses less digits than its factorization.

3905871840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3905871840 is about 62496.9746467779. The cubic root of 3905871840 is about 1574.8504892091.

The spelling of 3905871840 in words is "three billion, nine hundred five million, eight hundred seventy-one thousand, eight hundred forty".