3873435120 has 160 divisors (see below), whose sum is σ = 13772451840. Its totient is φ = 999578880.

The previous prime is 3873435109. The next prime is 3873435121. The reversal of 3873435120 is 215343783.

3873435120 is a `hidden beast` number, since 38 + 73 + 43 + 512 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3873435121) 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, 38037 + ... + 95883.

It is an arithmetic number, because the mean of its divisors is an integer number (86077824).

Almost surely, 2^3873435120 is an apocalyptic number.

3873435120 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 3873435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6886225920).

3873435120 is an abundant number, since it is smaller than the sum of its proper divisors (9899016720).

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

3873435120 is a wasteful number, since it uses less digits than its factorization.

3873435120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57900 (or 57888 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3873435120 is about 62236.9273020447. The cubic root of 3873435120 is about 1570.4788618668.

The spelling of 3873435120 in words is "three billion, eight hundred seventy-three million, four hundred thirty-five thousand, one hundred twenty".