3506624 has 56 divisors (see below), whose sum is σ = 8065008. Its totient is φ = 1495040.

The previous prime is 3506567. The next prime is 3506663. The reversal of 3506624 is 4266053.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3506593 and 3506602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11822 + ... + 12114.

It is an arithmetic number, because the mean of its divisors is an integer number (144018).

Almost surely, 2^3506624 is an apocalyptic number.

3506624 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 3506624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032504).

3506624 is an abundant number, since it is smaller than the sum of its proper divisors (4558384).

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

3506624 is a wasteful number, since it uses less digits than its factorization.

3506624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 3506624 is about 1872.5981950221. The cubic root of 3506624 is about 151.9251709242.

The spelling of 3506624 in words is "three million, five hundred six thousand, six hundred twenty-four".