3424720 has 80 divisors (see below), whose sum is σ = 8905680. Its totient is φ = 1216512.

The previous prime is 3424711. The next prime is 3424727. The reversal of 3424720 is 274243.

It can be written as a sum of positive squares in 8 ways, for example, as 141376 + 3283344 = 376^2 + 1812^2 .

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

It is a d-powerful number, because it can be written as 3² + 4⁹ + 2⁵ + 4¹⁰ + 7⁵ + 2²¹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3424691 and 3424700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38436 + ... + 38524.

It is an arithmetic number, because the mean of its divisors is an integer number (111321).

Almost surely, 2^3424720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452840).

3424720 is an abundant number, since it is smaller than the sum of its proper divisors (5480960).

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

3424720 is a wasteful number, since it uses less digits than its factorization.

3424720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 3424720 is about 1850.5999027342. The cubic root of 3424720 is about 150.7330047845.

Adding to 3424720 its reverse (274243), we get a palindrome (3698963).

The spelling of 3424720 in words is "three million, four hundred twenty-four thousand, seven hundred twenty".