3924117120 has 768 divisors, whose sum is σ = 16669900800. Its totient is φ = 766402560.

The previous prime is 3924117097. The next prime is 3924117121. The reversal of 3924117120 is 217114293.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3924117121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30898497 + ... + 30898623.

It is an arithmetic number, because the mean of its divisors is an integer number (21705600).

Almost surely, 2^3924117120 is an apocalyptic number.

3924117120 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 3924117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8334950400).

3924117120 is an abundant number, since it is smaller than the sum of its proper divisors (12745783680).

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

3924117120 is a wasteful number, since it uses less digits than its factorization.

3924117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 3924117120 is about 62642.7738849422. The cubic root of 3924117120 is about 1577.2988511049.

The spelling of 3924117120 in words is "three billion, nine hundred twenty-four million, one hundred seventeen thousand, one hundred twenty".