3090480 has 80 divisors (see below), whose sum is σ = 9761280. Its totient is φ = 808704.

The previous prime is 3090473. The next prime is 3090491. The reversal of 3090480 is 840903.

3090480 = T₂₃₇ + T₂₃₈ + ... + T₃₁₆.

It is a tau number, because it is divible by the number of its divisors (80).

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 3090480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18879 + ... + 19041.

It is an arithmetic number, because the mean of its divisors is an integer number (122016).

Almost surely, 2^3090480 is an apocalyptic number.

3090480 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 3090480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4880640).

3090480 is an abundant number, since it is smaller than the sum of its proper divisors (6670800).

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

3090480 is a wasteful number, since it uses less digits than its factorization.

3090480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3090480 is about 1757.9761090527. The cubic root of 3090480 is about 145.6605612896.

It can be divided in two parts, 3090 and 480, that added together give a triangular number (3570 = T₈₄).

The spelling of 3090480 in words is "three million, ninety thousand, four hundred eighty".