3515624 has 32 divisors (see below), whose sum is σ = 7654080. Its totient is φ = 1482624.

The previous prime is 3515623. The next prime is 3515639. The reversal of 3515624 is 4265153.

3515624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1875²-1.

It is a super-2 number, since 2×3515624² = 24719224218752, which contains 22 as substring.

It is a plaindrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 3515593 and 3515602.

It is not an unprimeable number, because it can be changed into a prime (3515623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3284 + ... + 4220.

It is an arithmetic number, because the mean of its divisors is an integer number (239190).

Almost surely, 2^3515624 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 3515624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827040).

3515624 is an abundant number, since it is smaller than the sum of its proper divisors (4138456).

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

3515624 is a wasteful number, since it uses less digits than its factorization.

3515624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1013 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 3515624 is about 1874.9997333333. Note that the first 3 decimals coincide. The cubic root of 3515624 is about 152.0550354723.

The spelling of 3515624 in words is "three million, five hundred fifteen thousand, six hundred twenty-four".