3785120 has 48 divisors (see below), whose sum is σ = 9176328. Its totient is φ = 1474560.

The previous prime is 3785083. The next prime is 3785143. The reversal of 3785120 is 215873.

It can be written as a sum of positive squares in 4 ways, for example, as 3225616 + 559504 = 1796^2 + 748^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3785120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6272 + ... + 6848.

Almost surely, 2^3785120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3785120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588164).

3785120 is an abundant number, since it is smaller than the sum of its proper divisors (5391208).

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

3785120 is a wasteful number, since it uses less digits than its factorization.

3785120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 3785120 is about 1945.5384858697. The cubic root of 3785120 is about 155.8451235197.

The spelling of 3785120 in words is "three million, seven hundred eighty-five thousand, one hundred twenty".