3905013701376 has 576 divisors, whose sum is σ = 12106392883200. Its totient is φ = 1255949660160.

The previous prime is 3905013701363. The next prime is 3905013701399. The reversal of 3905013701376 is 6731073105093.

3905013701376 is a `hidden beast` number, since 3 + 9 + 0 + 501 + 3 + 7 + 0 + 137 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 2713698865 + ... + 2713700303.

It is an arithmetic number, because the mean of its divisors is an integer number (21018043200).

Almost surely, 2^{3905013701376} is an apocalyptic number.

3905013701376 is a gapful number since it is divisible by the number (36) 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 3905013701376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053196441600).

3905013701376 is an abundant number, since it is smaller than the sum of its proper divisors (8201379181824).

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

3905013701376 is an equidigital number, since it uses as much as digits as its factorization.

3905013701376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 45.

The spelling of 3905013701376 in words is "three trillion, nine hundred five billion, thirteen million, seven hundred one thousand, three hundred seventy-six".