3840405120 has 96 divisors (see below), whose sum is σ = 13261418820. Its totient is φ = 1024106496.

The previous prime is 3840405071. The next prime is 3840405137. The reversal of 3840405120 is 215040483.

It can be written as a sum of positive squares in 2 ways, for example, as 3831114816 + 9290304 = 61896^2 + 3048^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3840405120² = 29497422971444428800, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 327609 + ... + 339128.

Almost surely, 2^3840405120 is an apocalyptic number.

3840405120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3840405120 is an abundant number, since it is smaller than the sum of its proper divisors (9421013700).

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

3840405120 is a wasteful number, since it uses less digits than its factorization.

3840405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666762 (or 666747 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3840405120 is about 61971.0022510529. The cubic root of 3840405120 is about 1566.0021236692.

The spelling of 3840405120 in words is "three billion, eight hundred forty million, four hundred five thousand, one hundred twenty".