3508736 has 80 divisors (see below), whose sum is σ = 8838720. Its totient is φ = 1351680.

The previous prime is 3508733. The next prime is 3508741. The reversal of 3508736 is 6378053.

It is a happy number.

It is a super-2 number, since 2×3508736² = 24622456635392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3508733) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 39380 + ... + 39468.

It is an arithmetic number, because the mean of its divisors is an integer number (110484).

Almost surely, 2^3508736 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 3508736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419360).

3508736 is an abundant number, since it is smaller than the sum of its proper divisors (5329984).

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

3508736 is an equidigital number, since it uses as much as digits as its factorization.

3508736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 3508736 is about 1873.1620325001. The cubic root of 3508736 is about 151.9556657405.

The spelling of 3508736 in words is "three million, five hundred eight thousand, seven hundred thirty-six".