3768048 has 60 divisors (see below), whose sum is σ = 10677888. Its totient is φ = 1240320.

The previous prime is 3767987. The next prime is 3768053. The reversal of 3768048 is 8408673.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19633 + ... + 19823.

Almost surely, 2^3768048 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 3768048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338944).

3768048 is an abundant number, since it is smaller than the sum of its proper divisors (6909840).

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

3768048 is a wasteful number, since it uses less digits than its factorization.

3768048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3768048 is about 1941.1460532376. The cubic root of 3768048 is about 155.6104679903.

The spelling of 3768048 in words is "three million, seven hundred sixty-eight thousand, forty-eight".