3784480 has 96 divisors (see below), whose sum is σ = 10644480. Its totient is φ = 1244160.

The previous prime is 3784463. The next prime is 3784481. The reversal of 3784480 is 844873.

It is not an unprimeable number, because it can be changed into a prime (3784481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34666 + ... + 34774.

It is an arithmetic number, because the mean of its divisors is an integer number (110880).

Almost surely, 2^3784480 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 3784480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240).

3784480 is an abundant number, since it is smaller than the sum of its proper divisors (6860000).

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

3784480 is a wasteful number, since it uses less digits than its factorization.

3784480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 3784480 is about 1945.3740000319. The cubic root of 3784480 is about 155.8363394300.

The spelling of 3784480 in words is "three million, seven hundred eighty-four thousand, four hundred eighty".