3776000 has 80 divisors (see below), whose sum is σ = 9575280. Its totient is φ = 1484800.

The previous prime is 3775999. The next prime is 3776009. The reversal of 3776000 is 6773.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3776009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63971 + ... + 64029.

It is an arithmetic number, because the mean of its divisors is an integer number (119691).

Almost surely, 2^3776000 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 3776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787640).

3776000 is an abundant number, since it is smaller than the sum of its proper divisors (5799280).

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

3776000 is an frugal number, since it uses more digits than its factorization.

3776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 3776000 is about 1943.1932482386. The cubic root of 3776000 is about 155.7198566349.

The spelling of 3776000 in words is "three million, seven hundred seventy-six thousand".