3678972 has 48 divisors (see below), whose sum is σ = 9580032. Its totient is φ = 1089280.

The previous prime is 3678967. The next prime is 3678973. The reversal of 3678972 is 2798763.

3678972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3678973) 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, 5908 + ... + 6500.

It is an arithmetic number, because the mean of its divisors is an integer number (199584).

Almost surely, 2^3678972 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 3678972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790016).

3678972 is an abundant number, since it is smaller than the sum of its proper divisors (5901060).

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

3678972 is a wasteful number, since it uses less digits than its factorization.

3678972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 656 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 3678972 is about 1918.0646495882. The cubic root of 3678972 is about 154.3744751849.

It can be divided in two parts, 367 and 8972, that added together give a palindrome (9339).

The spelling of 3678972 in words is "three million, six hundred seventy-eight thousand, nine hundred seventy-two".