3905386505280 has 448 divisors, whose sum is σ = 14845493214720. Its totient is φ = 960784146432.

The previous prime is 3905386505231. The next prime is 3905386505281. The reversal of 3905386505280 is 825056835093.

3905386505280 is a `hidden beast` number, since 3 + 9 + 0 + 53 + 8 + 6 + 505 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3905386505281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221598549 + ... + 221616171.

It is an arithmetic number, because the mean of its divisors is an integer number (33137261640).

Almost surely, 2^{3905386505280} is an apocalyptic number.

3905386505280 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 3905386505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7422746607360).

3905386505280 is an abundant number, since it is smaller than the sum of its proper divisors (10940106709440).

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

3905386505280 is a wasteful number, since it uses less digits than its factorization.

3905386505280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19635 (or 19619 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 3905386505280 in words is "three trillion, nine hundred five billion, three hundred eighty-six million, five hundred five thousand, two hundred eighty".