3445920 has 72 divisors (see below), whose sum is σ = 11764116. Its totient is φ = 918528.

The previous prime is 3445919. The next prime is 3445931. The reversal of 3445920 is 295443.

3445920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2944656 + 501264 = 1716^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244 + ... + 2636.

Almost surely, 2^3445920 is an apocalyptic number.

3445920 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 3445920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882058).

3445920 is an abundant number, since it is smaller than the sum of its proper divisors (8318196).

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

3445920 is a wasteful number, since it uses less digits than its factorization.

3445920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3445920 is about 1856.3189381138. The cubic root of 3445920 is about 151.0433920585.

It can be divided in two parts, 34 and 45920, that added together give a palindrome (45954).

The spelling of 3445920 in words is "three million, four hundred forty-five thousand, nine hundred twenty".