3778320 has 160 divisors (see below), whose sum is σ = 14499072. Its totient is φ = 792576.

The previous prime is 3778319. The next prime is 3778343. The reversal of 3778320 is 238773.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21754 + ... + 21926.

Almost surely, 2^3778320 is an apocalyptic number.

3778320 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 3778320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249536).

3778320 is an abundant number, since it is smaller than the sum of its proper divisors (10720752).

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

3778320 is a wasteful number, since it uses less digits than its factorization.

3778320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 3778320 is about 1943.7901121263. The cubic root of 3778320 is about 155.7517418842.

Adding to 3778320 its product of nonzero digits (7056), we get a triangular number (3785376 = T₂₇₅₁).

The spelling of 3778320 in words is "three million, seven hundred seventy-eight thousand, three hundred twenty".