3219480 has 128 divisors (see below), whose sum is σ = 11750400. Its totient is φ = 777600.

The previous prime is 3219479. The next prime is 3219497. The reversal of 3219480 is 849123.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11745 + ... + 12015.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

Almost surely, 2^3219480 is an apocalyptic number.

3219480 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 3219480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

3219480 is an abundant number, since it is smaller than the sum of its proper divisors (8530920).

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

3219480 is a wasteful number, since it uses less digits than its factorization.

3219480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3219480 is about 1794.2909463072. The cubic root of 3219480 is about 147.6596757835.

Subtracting from 3219480 its sum of digits (27), we obtain a triangular number (3219453 = T₂₅₃₇).

It can be divided in two parts, 321 and 9480, that added together give a square (9801 = 99²).

The spelling of 3219480 in words is "three million, two hundred nineteen thousand, four hundred eighty".