3801480 has 64 divisors (see below), whose sum is σ = 11577600. Its totient is φ = 998400.

The previous prime is 3801461. The next prime is 3801487. The reversal of 3801480 is 841083.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3801480.

It is not an unprimeable number, because it can be changed into a prime (3801487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9280 + ... + 9680.

It is an arithmetic number, because the mean of its divisors is an integer number (180900).

Almost surely, 2^3801480 is an apocalyptic number.

3801480 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 3801480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788800).

3801480 is an abundant number, since it is smaller than the sum of its proper divisors (7776120).

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

3801480 is a wasteful number, since it uses less digits than its factorization.

3801480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3801480 is about 1949.7384439970. The cubic root of 3801480 is about 156.0693314440.

The spelling of 3801480 in words is "three million, eight hundred one thousand, four hundred eighty".