3908480 has 64 divisors (see below), whose sum is σ = 9694080. Its totient is φ = 1505280.

The previous prime is 3908477. The next prime is 3908491. The reversal of 3908480 is 848093.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19742 + ... + 19938.

It is an arithmetic number, because the mean of its divisors is an integer number (151470).

Almost surely, 2^3908480 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 3908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847040).

3908480 is an abundant number, since it is smaller than the sum of its proper divisors (5785600).

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

3908480 is a wasteful number, since it uses less digits than its factorization.

3908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 3908480 is about 1976.9876074472. The cubic root of 3908480 is about 157.5200948577.

The spelling of 3908480 in words is "three million, nine hundred eight thousand, four hundred eighty".