3456089856 has 144 divisors (see below), whose sum is σ = 10348117920. Its totient is φ = 1151843328.

The previous prime is 3456089849. The next prime is 3456089887. The reversal of 3456089856 is 6589806543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3456089856² = 23889114185492201472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556786 + ... + 562958.

It is an arithmetic number, because the mean of its divisors is an integer number (71861930).

Almost surely, 2^3456089856 is an apocalyptic number.

3456089856 is a gapful number since it is divisible by the number (36) 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 3456089856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174058960).

3456089856 is an abundant number, since it is smaller than the sum of its proper divisors (6892028064).

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

3456089856 is an frugal number, since it uses more digits than its factorization.

3456089856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6210 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 3456089856 is about 58788.5180626285. The cubic root of 3456089856 is about 1511.9183629392.

The spelling of 3456089856 in words is "three billion, four hundred fifty-six million, eighty-nine thousand, eight hundred fifty-six".