3762048 has 64 divisors (see below), whose sum is σ = 10195920. Its totient is φ = 1228800.

The previous prime is 3762047. The next prime is 3762061. The reversal of 3762048 is 8402673.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3762047) 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, 37198 + ... + 37298.

Almost surely, 2^3762048 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 3762048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097960).

3762048 is an abundant number, since it is smaller than the sum of its proper divisors (6433872).

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

3762048 is a wasteful number, since it uses less digits than its factorization.

3762048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3762048 is about 1939.5999587544. The cubic root of 3762048 is about 155.5278293743.

It can be divided in two parts, 3 and 762048, that multiplied together give a square (2286144 = 1512²).

The spelling of 3762048 in words is "three million, seven hundred sixty-two thousand, forty-eight".