3778640 has 40 divisors (see below), whose sum is σ = 8872200. Its totient is φ = 1496576.

The previous prime is 3778637. The next prime is 3778651. The reversal of 3778640 is 468773.

It can be written as a sum of positive squares in 4 ways, for example, as 107584 + 3671056 = 328^2 + 1916^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 3778640.

It is a congruent number.

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, 11762 + ... + 12078.

It is an arithmetic number, because the mean of its divisors is an integer number (221805).

Almost surely, 2^3778640 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 3778640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436100).

3778640 is an abundant number, since it is smaller than the sum of its proper divisors (5093560).

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

3778640 is a wasteful number, since it uses less digits than its factorization.

3778640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 3778640 is about 1943.8724237974. The cubic root of 3778640 is about 155.7561388252.

The spelling of 3778640 in words is "three million, seven hundred seventy-eight thousand, six hundred forty".