3798480 has 240 divisors, whose sum is σ = 15266880. Its totient is φ = 774144.

The previous prime is 3798469. The next prime is 3798481. The reversal of 3798480 is 848973.

3798480 is nontrivially palindromic in base 13.

3798480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3798481) 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, 199911 + ... + 199929.

It is an arithmetic number, because the mean of its divisors is an integer number (63612).

Almost surely, 2^3798480 is an apocalyptic number.

3798480 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 3798480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633440).

3798480 is an abundant number, since it is smaller than the sum of its proper divisors (11468400).

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

3798480 is a wasteful number, since it uses less digits than its factorization.

3798480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 3798480 is about 1948.9689581930. The cubic root of 3798480 is about 156.0282657526.

It can be divided in two parts, 3798 and 480, that added together give a triangular number (4278 = T₉₂).

The spelling of 3798480 in words is "three million, seven hundred ninety-eight thousand, four hundred eighty".