3872970 has 48 divisors (see below), whose sum is σ = 10513152. Its totient is φ = 987360.

The previous prime is 3872969. The next prime is 3872971. The reversal of 3872970 is 792783.

3872970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3872969) and next prime (3872971).

It is not an unprimeable number, because it can be changed into a prime (3872971) 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 23 ways as a sum of consecutive naturals, for example, 1135 + ... + 3005.

It is an arithmetic number, because the mean of its divisors is an integer number (219024).

Almost surely, 2^3872970 is an apocalyptic number.

3872970 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 3872970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256576).

3872970 is an abundant number, since it is smaller than the sum of its proper divisors (6640182).

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

3872970 is a wasteful number, since it uses less digits than its factorization.

3872970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3872970 is about 1967.9862804400. The cubic root of 3872970 is about 157.0415998599.

The spelling of 3872970 in words is "three million, eight hundred seventy-two thousand, nine hundred seventy".