3946320 has 240 divisors, whose sum is σ = 16248960. Its totient is φ = 870912.

The previous prime is 3946297. The next prime is 3946337. The reversal of 3946320 is 236493.

3946320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 136066 + ... + 136094.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

Almost surely, 2^3946320 is an apocalyptic number.

3946320 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 3946320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

3946320 is an abundant number, since it is smaller than the sum of its proper divisors (12302640).

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

3946320 is a wasteful number, since it uses less digits than its factorization.

3946320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3946320 is about 1986.5346712303. The cubic root of 3946320 is about 158.0268073939.

The spelling of 3946320 in words is "three million, nine hundred forty-six thousand, three hundred twenty".