3138480 has 80 divisors (see below), whose sum is σ = 10817760. Its totient is φ = 836352.

The previous prime is 3138469. The next prime is 3138491. The reversal of 3138480 is 848313.

It is an interprime number because it is at equal distance from previous prime (3138469) and next prime (3138491).

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 (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1434 + ... + 2886.

It is an arithmetic number, because the mean of its divisors is an integer number (135222).

Almost surely, 2^3138480 is an apocalyptic number.

3138480 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 3138480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408880).

3138480 is an abundant number, since it is smaller than the sum of its proper divisors (7679280).

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

3138480 is a wasteful number, since it uses less digits than its factorization.

3138480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3138480 is about 1771.5755699377. The cubic root of 3138480 is about 146.4108027503.

The spelling of 3138480 in words is "three million, one hundred thirty-eight thousand, four hundred eighty".