3445805120 has 28 divisors (see below), whose sum is σ = 8205324204. Its totient is φ = 1378321920.

The previous prime is 3445805081. The next prime is 3445805159. The reversal of 3445805120 is 215085443.

It is an interprime number because it is at equal distance from previous prime (3445805081) and next prime (3445805159).

It can be written as a sum of positive squares in 2 ways, for example, as 2213514304 + 1232290816 = 47048^2 + 35104^2 .

It is a super-3 number, since 3×3445805120³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5383751 + ... + 5384390.

It is an arithmetic number, because the mean of its divisors is an integer number (293047293).

Almost surely, 2^3445805120 is an apocalyptic number.

It is an amenable number.

3445805120 is an abundant number, since it is smaller than the sum of its proper divisors (4759519084).

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

3445805120 is a wasteful number, since it uses less digits than its factorization.

3445805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10768158 (or 10768148 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 3445805120 is about 58700.9805710262. The cubic root of 3445805120 is about 1510.4171354617.

The spelling of 3445805120 in words is "three billion, four hundred forty-five million, eight hundred five thousand, one hundred twenty".