3484728 has 128 divisors (see below), whose sum is σ = 11188800. Its totient is φ = 995328.

The previous prime is 3484709. The next prime is 3484729. The reversal of 3484728 is 8274843.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3484692 and 3484701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3484729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47700 + ... + 47772.

Almost surely, 2^3484728 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 3484728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594400).

3484728 is an abundant number, since it is smaller than the sum of its proper divisors (7704072).

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

3484728 is a wasteful number, since it uses less digits than its factorization.

3484728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 3484728 is about 1866.7426175025. The cubic root of 3484728 is about 151.6082942996.

It can be divided in two parts, 3484 and 728, that multiplied together give a palindrome (2536352).

The spelling of 3484728 in words is "three million, four hundred eighty-four thousand, seven hundred twenty-eight".