3440861160 has 256 divisors, whose sum is σ = 11562117120. Its totient is φ = 812160000.

The previous prime is 3440861159. The next prime is 3440861191. The reversal of 3440861160 is 611680443.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12158379 + ... + 12158661.

It is an arithmetic number, because the mean of its divisors is an integer number (45164520).

Almost surely, 2^3440861160 is an apocalyptic number.

3440861160 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 3440861160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781058560).

3440861160 is an abundant number, since it is smaller than the sum of its proper divisors (8121255960).

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

3440861160 is a wasteful number, since it uses less digits than its factorization.

3440861160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3440861160 is about 58658.8540631336. The cubic root of 3440861160 is about 1509.6944193996.

The spelling of 3440861160 in words is "three billion, four hundred forty million, eight hundred sixty-one thousand, one hundred sixty".