3742848 has 120 divisors (see below), whose sum is σ = 11755755. Its totient is φ = 1181952.

The previous prime is 3742841. The next prime is 3742861. The reversal of 3742848 is 8482473.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3742848 is a `hidden beast` number, since 374 + 284 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1871424 + 1871424 = 1368^2 + 1368^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1368.

It is a super-2 number, since 2×3742848² = 28017822302208, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 3¹² + 7 + 4⁸ + 2⁷ + 8 + 4¹⁰ + 8⁷ .

Its product of digits (43008) is a multiple of the sum of its prime divisors (24).

It is not an unprimeable number, because it can be changed into a prime (3742841) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 196983 + ... + 197001.

Almost surely, 2^3742848 is an apocalyptic number.

3742848 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742848

3742848 is an abundant number, since it is smaller than the sum of its proper divisors (8012907).

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

3742848 is an equidigital number, since it uses as much as digits as its factorization.

3742848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 24 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 3742848 is about 1934.6441533264. The cubic root of 3742848 is about 155.2627938767.

The spelling of 3742848 in words is "three million, seven hundred forty-two thousand, eight hundred forty-eight".