3793972 has 36 divisors (see below), whose sum is σ = 8323140. Its totient is φ = 1499904.

The previous prime is 3793949. The next prime is 3793973. The reversal of 3793972 is 2793973.

3793972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 682276 + 3111696 = 826^2 + 1764^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3793973) 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 11 ways as a sum of consecutive naturals, for example, 1804 + ... + 3292.

Almost surely, 2^3793972 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 3793972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161570).

3793972 is an abundant number, since it is smaller than the sum of its proper divisors (4529168).

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

3793972 is a wasteful number, since it uses less digits than its factorization.

3793972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1511 counting only the distinct ones).

The product of its digits is 71442, while the sum is 40.

The square root of 3793972 is about 1947.8121059281. The cubic root of 3793972 is about 155.9665170304.

Subtracting from 3793972 its reverse (2793973), we obtain a palindrome (999999).

The spelling of 3793972 in words is "three million, seven hundred ninety-three thousand, nine hundred seventy-two".