3816123120 has 60 divisors (see below), whose sum is σ = 12815815896. Its totient is φ = 1017632640.

The previous prime is 3816123083. The next prime is 3816123151. The reversal of 3816123120 is 213216183.

It is a happy number.

3816123120 is a `hidden beast` number, since 38 + 1 + 612 + 3 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2649366 + ... + 2650805.

Almost surely, 2^3816123120 is an apocalyptic number.

3816123120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3816123120 is an abundant number, since it is smaller than the sum of its proper divisors (8999692776).

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

3816123120 is a wasteful number, since it uses less digits than its factorization.

3816123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5300190 (or 5300181 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3816123120 is about 61774.7773771788. Note that the first 3 decimals coincide. The cubic root of 3816123120 is about 1562.6946524003.

The spelling of 3816123120 in words is "three billion, eight hundred sixteen million, one hundred twenty-three thousand, one hundred twenty".