3742624 has 48 divisors (see below), whose sum is σ = 7900200. Its totient is φ = 1741824.

The previous prime is 3742621. The next prime is 3742631. The reversal of 3742624 is 4262473.

3742624 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 3732624 + 10000 = 1932^2 + 100^2 .

It is a d-powerful number, because it can be written as 3¹⁰ + 7⁷ + 4⁴ + 2⁹ + 6⁸ + 2¹⁷ + 4¹⁰ .

It is a junction number, because it is equal to n+sod(n) for n = 3742592 and 3742601.

It is not an unprimeable number, because it can be changed into a prime (3742621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34282 + ... + 34390.

Almost surely, 2^3742624 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 3742624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950100).

3742624 is an abundant number, since it is smaller than the sum of its proper divisors (4157576).

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

3742624 is a wasteful number, since it uses less digits than its factorization.

3742624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its digits is 8064, while the sum is 28.

The square root of 3742624 is about 1934.5862606769. The cubic root of 3742624 is about 155.2596964529.

The spelling of 3742624 in words is "three million, seven hundred forty-two thousand, six hundred twenty-four".