3930720 has 96 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 990720.

The previous prime is 3930709. The next prime is 3930721. The reversal of 3930720 is 270393.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3930721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8905 + ... + 9335.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 2^3930720 is an apocalyptic number.

3930720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3930720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

3930720 is an abundant number, since it is smaller than the sum of its proper divisors (9132960).

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

3930720 is a wasteful number, since it uses less digits than its factorization.

3930720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 3930720 is about 1982.6043478213. The cubic root of 3930720 is about 157.8183031229.

The spelling of 3930720 in words is "three million, nine hundred thirty thousand, seven hundred twenty".