3967920 has 160 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 956160.

The previous prime is 3967913. The next prime is 3967961. The reversal of 3967920 is 297693.

3967920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 23677 + ... + 23843.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

Almost surely, 2^3967920 is an apocalyptic number.

3967920 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 3967920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

3967920 is an abundant number, since it is smaller than the sum of its proper divisors (11031120).

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

3967920 is a wasteful number, since it uses less digits than its factorization.

3967920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3967920 is about 1991.9638550938. The cubic root of 3967920 is about 158.3146004307.

The spelling of 3967920 in words is "three million, nine hundred sixty-seven thousand, nine hundred twenty".