3705120 has 144 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 944640.

The previous prime is 3705113. The next prime is 3705137. The reversal of 3705120 is 215073.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3705093 and 3705102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44599 + ... + 44681.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

Almost surely, 2^3705120 is an apocalyptic number.

3705120 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 3705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

3705120 is an abundant number, since it is smaller than the sum of its proper divisors (9503712).

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

3705120 is a wasteful number, since it uses less digits than its factorization.

3705120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 3705120 is about 1924.8688266996. The cubic root of 3705120 is about 154.7393468690.

The spelling of 3705120 in words is "three million, seven hundred five thousand, one hundred twenty".