3924870120 has 128 divisors (see below), whose sum is σ = 13119321600. Its totient is φ = 1043718912.

The previous prime is 3924870101. The next prime is 3924870149. The reversal of 3924870120 is 210784293.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 397969 + ... + 407711.

It is an arithmetic number, because the mean of its divisors is an integer number (102494700).

Almost surely, 2^3924870120 is an apocalyptic number.

3924870120 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 3924870120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6559660800).

3924870120 is an abundant number, since it is smaller than the sum of its proper divisors (9194451480).

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

3924870120 is a wasteful number, since it uses less digits than its factorization.

3924870120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10136 (or 10126 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3924870120 is about 62648.7838668876. The cubic root of 3924870120 is about 1577.3997341007.

The spelling of 3924870120 in words is "three billion, nine hundred twenty-four million, eight hundred seventy thousand, one hundred twenty".