3776960 has 112 divisors (see below), whose sum is σ = 10424160. Its totient is φ = 1290240.

The previous prime is 3776957. The next prime is 3776999. The reversal of 3776960 is 696773.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102062 + ... + 102098.

Almost surely, 2^3776960 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 3776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212080).

3776960 is an abundant number, since it is smaller than the sum of its proper divisors (6647200).

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

3776960 is a wasteful number, since it uses less digits than its factorization.

3776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 38.

The square root of 3776960 is about 1943.4402486313. The cubic root of 3776960 is about 155.7330521148.

It can be divided in two parts, 377 and 6960, that added together give a palindrome (7337).

The spelling of 3776960 in words is "three million, seven hundred seventy-six thousand, nine hundred sixty".