3472624 has 30 divisors (see below), whose sum is σ = 7156784. Its totient is φ = 1632000.

The previous prime is 3472619. The next prime is 3472627. The reversal of 3472624 is 4262743.

It is a d-powerful number, because it can be written as 3¹² + 4⁶ + 7⁷ + 2 + 6 + 2²¹ + 4⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 3472592 and 3472601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3472627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4249 + ... + 4999.

Almost surely, 2^3472624 is an apocalyptic number.

3472624 is a gapful number since it is divisible by the number (34) 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 3472624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578392).

3472624 is an abundant number, since it is smaller than the sum of its proper divisors (3684160).

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

3472624 is a wasteful number, since it uses less digits than its factorization.

3472624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 770 counting only the distinct ones).

The product of its digits is 8064, while the sum is 28.

The square root of 3472624 is about 1863.4977864221. The cubic root of 3472624 is about 151.4325564735.

It can be divided in two parts, 3472 and 624, that added together give a 12-th power (4096 = 2¹²).

The spelling of 3472624 in words is "three million, four hundred seventy-two thousand, six hundred twenty-four".