3733506 has 96 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 991872.

The previous prime is 3733463. The next prime is 3733507. The reversal of 3733506 is 6053373.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3733506.

It is not an unprimeable number, because it can be changed into a prime (3733507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44941 + ... + 45023.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 2^3733506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3733506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

3733506 is an abundant number, since it is smaller than the sum of its proper divisors (6608574).

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

3733506 is a wasteful number, since it uses less digits than its factorization.

3733506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 3733506 is about 1932.2282473869. The cubic root of 3733506 is about 155.1335096646.

Adding to 3733506 its reverse (6053373), we get a palindrome (9786879).

The spelling of 3733506 in words is "three million, seven hundred thirty-three thousand, five hundred six".