3522480 has 80 divisors (see below), whose sum is σ = 11770080. Its totient is φ = 866304.

The previous prime is 3522479. The next prime is 3522487. The reversal of 3522480 is 842253.

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 nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 3522480.

It is not an unprimeable number, because it can be changed into a prime (3522487) 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, 2556 + ... + 3684.

It is an arithmetic number, because the mean of its divisors is an integer number (147126).

Almost surely, 2^3522480 is an apocalyptic number.

3522480 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 3522480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885040).

3522480 is an abundant number, since it is smaller than the sum of its proper divisors (8247600).

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

3522480 is a wasteful number, since it uses less digits than its factorization.

3522480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3522480 is about 1876.8271097786. The cubic root of 3522480 is about 152.1538147488.

The spelling of 3522480 in words is "three million, five hundred twenty-two thousand, four hundred eighty".