3449085120 has 336 divisors, whose sum is σ = 13530011040. Its totient is φ = 798916608.

The previous prime is 3449085113. The next prime is 3449085127. The reversal of 3449085120 is 215809443.

It is an interprime number because it is at equal distance from previous prime (3449085113) and next prime (3449085127).

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

It is not an unprimeable number, because it can be changed into a prime (3449085127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 633771 + ... + 639189.

It is an arithmetic number, because the mean of its divisors is an integer number (40267890).

Almost surely, 2^3449085120 is an apocalyptic number.

3449085120 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 3449085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6765005520).

3449085120 is an abundant number, since it is smaller than the sum of its proper divisors (10080925920).

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

3449085120 is a wasteful number, since it uses less digits than its factorization.

3449085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5472 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3449085120 is about 58728.9121302276. The cubic root of 3449085120 is about 1510.8962297937.

The spelling of 3449085120 in words is "three billion, four hundred forty-nine million, eighty-five thousand, one hundred twenty".