3420480 has 112 divisors (see below), whose sum is σ = 12435840. Its totient is φ = 780288.

The previous prime is 3420457. The next prime is 3420481. The reversal of 3420480 is 840243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420481) 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, 6466 + ... + 6974.

Almost surely, 2^3420480 is an apocalyptic number.

3420480 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 3420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217920).

3420480 is an abundant number, since it is smaller than the sum of its proper divisors (9015360).

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

3420480 is a wasteful number, since it uses less digits than its factorization.

3420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3420480 is about 1849.4539734743. The cubic root of 3420480 is about 150.6707737240.

The spelling of 3420480 in words is "three million, four hundred twenty thousand, four hundred eighty".