3484880 has 80 divisors (see below), whose sum is σ = 9523200. Its totient is φ = 1185408.

The previous prime is 3484879. The next prime is 3484889. The reversal of 3484880 is 884843.

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

It is a super-2 number, since 2×3484880² = 24288777228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3484880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3484889) 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, 27377 + ... + 27503.

It is an arithmetic number, because the mean of its divisors is an integer number (119040).

Almost surely, 2^3484880 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 3484880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761600).

3484880 is an abundant number, since it is smaller than the sum of its proper divisors (6038320).

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

3484880 is a wasteful number, since it uses less digits than its factorization.

3484880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 3484880 is about 1866.7833296877. The cubic root of 3484880 is about 151.6104985965.

The spelling of 3484880 in words is "three million, four hundred eighty-four thousand, eight hundred eighty".