3892480 has 36 divisors (see below), whose sum is σ = 9326772. Its totient is φ = 1556480.

The previous prime is 3892477. The next prime is 3892481. The reversal of 3892480 is 842983.

It can be written as a sum of positive squares in 2 ways, for example, as 2876416 + 1016064 = 1696^2 + 1008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3892481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 241 + ... + 2800.

It is an arithmetic number, because the mean of its divisors is an integer number (259077).

Almost surely, 2^3892480 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 3892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663386).

3892480 is an abundant number, since it is smaller than the sum of its proper divisors (5434292).

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

3892480 is an equidigital number, since it uses as much as digits as its factorization.

3892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 3892480 is about 1972.9368971156. The cubic root of 3892480 is about 157.3048561566.

The spelling of 3892480 in words is "three million, eight hundred ninety-two thousand, four hundred eighty".