3291920 has 20 divisors (see below), whose sum is σ = 7653900. Its totient is φ = 1316736.

The previous prime is 3291919. The next prime is 3291923. The reversal of 3291920 is 291923.

It can be written as a sum of positive squares in 2 ways, for example, as 719104 + 2572816 = 848^2 + 1604^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3291920.

It is not an unprimeable number, because it can be changed into a prime (3291923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20495 + ... + 20654.

It is an arithmetic number, because the mean of its divisors is an integer number (382695).

Almost surely, 2^3291920 is an apocalyptic number.

It is an amenable number.

3291920 is an abundant number, since it is smaller than the sum of its proper divisors (4361980).

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

3291920 is a wasteful number, since it uses less digits than its factorization.

3291920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41162 (or 41156 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 3291920 is about 1814.3649026588. The cubic root of 3291920 is about 148.7589453934.

The spelling of 3291920 in words is "three million, two hundred ninety-one thousand, nine hundred twenty".