3642948 has 48 divisors (see below), whose sum is σ = 9576000. Its totient is φ = 1197504.

The previous prime is 3642941. The next prime is 3642959. The reversal of 3642948 is 8492463.

It is a happy number.

3642948 is a `hidden beast` number, since 3 + 642 + 9 + 4 + 8 = 666.

3642948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3642941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9423 + ... + 9801.

It is an arithmetic number, because the mean of its divisors is an integer number (199500).

Almost surely, 2^3642948 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 3642948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788000).

3642948 is an abundant number, since it is smaller than the sum of its proper divisors (5933052).

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

3642948 is a wasteful number, since it uses less digits than its factorization.

3642948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3642948 is about 1908.6508323944. The cubic root of 3642948 is about 153.8689501861.

The spelling of 3642948 in words is "three million, six hundred forty-two thousand, nine hundred forty-eight".