3905987379840 has 1728 divisors, whose sum is σ = 17992852895160. Its totient is φ = 775481720832.

The previous prime is 3905987379839. The next prime is 3905987379863. The reversal of 3905987379840 is 489737895093.

3905987379840 is a `hidden beast` number, since 3 + 90 + 5 + 98 + 7 + 379 + 84 + 0 = 666.

3905987379840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 99648811584 + 3806338568256 = 315672^2 + 1950984^2 .

It is a super-2 number, since 2×3905987379840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 810873112 + ... + 810877928.

Almost surely, 2^{3905987379840} is an apocalyptic number.

3905987379840 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 3905987379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8996426447580).

3905987379840 is an abundant number, since it is smaller than the sum of its proper divisors (14086865515320).

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

3905987379840 is a wasteful number, since it uses less digits than its factorization.

3905987379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4864 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 3905987379840 in words is "three trillion, nine hundred five billion, nine hundred eighty-seven million, three hundred seventy-nine thousand, eight hundred forty".