3905385120000 has 1080 divisors, whose sum is σ = 17318403886784. Its totient is φ = 823965696000.

The previous prime is 3905385119917. The next prime is 3905385120001. The reversal of 3905385120000 is 215835093.

3905385120000 is a `hidden beast` number, since 3 + 90 + 53 + 8 + 512 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3905385120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 131025099 + ... + 131054901.

Almost surely, 2^{3905385120000} is an apocalyptic number.

3905385120000 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 3905385120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8659201943392).

3905385120000 is an abundant number, since it is smaller than the sum of its proper divisors (13413018766784).

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

3905385120000 is a wasteful number, since it uses less digits than its factorization.

3905385120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29865 (or 29833 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 3905385120000 in words is "three trillion, nine hundred five billion, three hundred eighty-five million, one hundred twenty thousand".