4381776 has 180 divisors, whose sum is σ = 15436512. Its totient is φ = 1197504.

The previous prime is 4381771. The next prime is 4381777. The reversal of 4381776 is 6771834.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4381776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4381771) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190501 + ... + 190523.

Almost surely, 2^4381776 is an apocalyptic number.

4381776 is a gapful number since it is divisible by the number (46) 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 4381776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7718256).

4381776 is an abundant number, since it is smaller than the sum of its proper divisors (11054736).

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

4381776 is a wasteful number, since it uses less digits than its factorization.

4381776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 35 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 4381776 is about 2093.2692134554. The cubic root of 4381776 is about 163.6377090798.

Adding to 4381776 its product of digits (28224), we get a square (4410000 = 2100²).

The spelling of 4381776 in words is "four million, three hundred eighty-one thousand, seven hundred seventy-six".