3484672 has 44 divisors (see below), whose sum is σ = 7221816. Its totient is φ = 1679360.

The previous prime is 3484667. The next prime is 3484687. The reversal of 3484672 is 2764843.

3484672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (32256) is a multiple of the sum of its prime divisors (126).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 41943 + ... + 42025.

Almost surely, 2^3484672 is an apocalyptic number.

3484672 is a gapful number since it is divisible by the number (32) 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 3484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610908).

3484672 is an abundant number, since it is smaller than the sum of its proper divisors (3737144).

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

3484672 is an equidigital number, since it uses as much as digits as its factorization.

3484672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 3484672 is about 1866.7276180525. The cubic root of 3484672 is about 151.6074821740.

The spelling of 3484672 in words is "three million, four hundred eighty-four thousand, six hundred seventy-two".