3905000406120 has 128 divisors (see below), whose sum is σ = 12960001658880. Its totient is φ = 933333408000.

The previous prime is 3905000406107. The next prime is 3905000406121. The reversal of 3905000406120 is 216040005093.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3905000406121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20739616 + ... + 20927055.

It is an arithmetic number, because the mean of its divisors is an integer number (101250012960).

Almost surely, 2^{3905000406120} is an apocalyptic number.

3905000406120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3905000406120 is an abundant number, since it is smaller than the sum of its proper divisors (9055001252760).

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

3905000406120 is a wasteful number, since it uses less digits than its factorization.

3905000406120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41666767 (or 41666763 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 3905000406120 in words is "three trillion, nine hundred five billion, four hundred six thousand, one hundred twenty".