3785720 has 64 divisors (see below), whose sum is σ = 9123840. Its totient is φ = 1411200.

The previous prime is 3785687. The next prime is 3785753. The reversal of 3785720 is 275873.

3785720 = 195² + 196² + ... + 265².

3785720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3785687) and next prime (3785753).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53285 + ... + 53355.

It is an arithmetic number, because the mean of its divisors is an integer number (142560).

Almost surely, 2^3785720 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 3785720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561920).

3785720 is an abundant number, since it is smaller than the sum of its proper divisors (5338120).

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

3785720 is a wasteful number, since it uses less digits than its factorization.

3785720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 3785720 is about 1945.6926787137. The cubic root of 3785720 is about 155.8533577046.

It can be divided in two parts, 378 and 5720, that multiplied together give a triangular number (2162160 = T₂₀₇₉).

The spelling of 3785720 in words is "three million, seven hundred eighty-five thousand, seven hundred twenty".