3973830 has 64 divisors (see below), whose sum is σ = 11059200. Its totient is φ = 895104.

The previous prime is 3973829. The next prime is 3973847. The reversal of 3973830 is 383793.

3973830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3973791 and 3973800.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26596 + ... + 26744.

It is an arithmetic number, because the mean of its divisors is an integer number (172800).

Almost surely, 2^3973830 is an apocalyptic number.

3973830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3973830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529600).

3973830 is an abundant number, since it is smaller than the sum of its proper divisors (7085370).

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

3973830 is a wasteful number, since it uses less digits than its factorization.

3973830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 3973830 is about 1993.4467637737. The cubic root of 3973830 is about 158.3931617546.

The spelling of 3973830 in words is "three million, nine hundred seventy-three thousand, eight hundred thirty".