3778920 has 64 divisors (see below), whose sum is σ = 12600000. Its totient is φ = 1007424.

The previous prime is 3778909. The next prime is 3778939. The reversal of 3778920 is 298773.

3778920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670 + ... + 2829.

It is an arithmetic number, because the mean of its divisors is an integer number (196875).

Almost surely, 2^3778920 is an apocalyptic number.

3778920 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 3778920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6300000).

3778920 is an abundant number, since it is smaller than the sum of its proper divisors (8821080).

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

3778920 is a wasteful number, since it uses less digits than its factorization.

3778920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3509 counting only the distinct ones).

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

The square root of 3778920 is about 1943.9444436506. The cubic root of 3778920 is about 155.7599859450.

The spelling of 3778920 in words is "three million, seven hundred seventy-eight thousand, nine hundred twenty".