3760224 has 96 divisors (see below), whose sum is σ = 11176704. Its totient is φ = 1098240.

The previous prime is 3760193. The next prime is 3760243. The reversal of 3760224 is 4220673.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3760194 and 3760203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28639 + ... + 28769.

It is an arithmetic number, because the mean of its divisors is an integer number (116424).

Almost surely, 2^3760224 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 3760224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588352).

3760224 is an abundant number, since it is smaller than the sum of its proper divisors (7416480).

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

3760224 is a wasteful number, since it uses less digits than its factorization.

3760224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 3760224 is about 1939.1297016961. The cubic root of 3760224 is about 155.5026898209.

Adding to 3760224 its reverse (4220673), we get a palindrome (7980897).

The spelling of 3760224 in words is "three million, seven hundred sixty thousand, two hundred twenty-four".