3936724 has 48 divisors (see below), whose sum is σ = 8406720. Its totient is φ = 1589760.

The previous prime is 3936683. The next prime is 3936727. The reversal of 3936724 is 4276393.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a d-powerful number, because it can be written as 3¹² + 9 + 3¹³ + 6⁸ + 7 + 2¹⁷ + 4⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 3936724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3936727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14074 + ... + 14350.

It is an arithmetic number, because the mean of its divisors is an integer number (175140).

Almost surely, 2^3936724 is an apocalyptic number.

3936724 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3936724 is an abundant number, since it is smaller than the sum of its proper divisors (4469996).

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

3936724 is a wasteful number, since it uses less digits than its factorization.

3936724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 326 counting only the distinct ones).

The product of its digits is 27216, while the sum is 34.

The square root of 3936724 is about 1984.1179400429. The cubic root of 3936724 is about 157.8986157254.

It can be divided in two parts, 393 and 6724, that added together give a palindrome (7117).

The spelling of 3936724 in words is "three million, nine hundred thirty-six thousand, seven hundred twenty-four".