3778560 has 144 divisors (see below), whose sum is σ = 13415220. Its totient is φ = 983040.

The previous prime is 3778531. The next prime is 3778571. The reversal of 3778560 is 658773.

3778560 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3326976 + 451584 = 1824^2 + 672^2 .

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 (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 92140 + ... + 92180.

Almost surely, 2^3778560 is an apocalyptic number.

3778560 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 3778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707610).

3778560 is an abundant number, since it is smaller than the sum of its proper divisors (9636660).

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

3778560 is a wasteful number, since it uses less digits than its factorization.

3778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3778560 is about 1943.8518462064. The cubic root of 3778560 is about 155.7550396132.

The spelling of 3778560 in words is "three million, seven hundred seventy-eight thousand, five hundred sixty".