3752320 has 128 divisors (see below), whose sum is σ = 10795680. Its totient is φ = 1228800.

The previous prime is 3752317. The next prime is 3752321. The reversal of 3752320 is 232573.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3752291 and 3752300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3752321) 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 15 ways as a sum of consecutive naturals, for example, 91500 + ... + 91540.

Almost surely, 2^3752320 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 3752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397840).

3752320 is an abundant number, since it is smaller than the sum of its proper divisors (7043360).

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

3752320 is a wasteful number, since it uses less digits than its factorization.

3752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 3752320 is about 1937.0906019079. The cubic root of 3752320 is about 155.3936577124.

Adding to 3752320 its reverse (232573), we get a palindrome (3984893).

The spelling of 3752320 in words is "three million, seven hundred fifty-two thousand, three hundred twenty".