3970824 has 96 divisors (see below), whose sum is σ = 11858400. Its totient is φ = 1098240.

The previous prime is 3970823. The next prime is 3970831. The reversal of 3970824 is 4280793.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3970823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44572 + ... + 44660.

It is an arithmetic number, because the mean of its divisors is an integer number (123525).

Almost surely, 2^3970824 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 3970824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929200).

3970824 is an abundant number, since it is smaller than the sum of its proper divisors (7887576).

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

3970824 is a wasteful number, since it uses less digits than its factorization.

3970824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3970824 is about 1992.6926506614. The cubic root of 3970824 is about 158.3532128933.

The spelling of 3970824 in words is "three million, nine hundred seventy thousand, eight hundred twenty-four".