3779820 has 144 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 865920.

The previous prime is 3779819. The next prime is 3779821. The reversal of 3779820 is 289773.

It is an interprime number because it is at equal distance from previous prime (3779819) and next prime (3779821).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3779821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45499 + ... + 45581.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

Almost surely, 2^3779820 is an apocalyptic number.

3779820 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 3779820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

3779820 is an abundant number, since it is smaller than the sum of its proper divisors (9429012).

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

3779820 is a wasteful number, since it uses less digits than its factorization.

3779820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3779820 is about 1944.1759179663. The cubic root of 3779820 is about 155.7723504000.

The spelling of 3779820 in words is "three million, seven hundred seventy-nine thousand, eight hundred twenty".