3459120000 has 640 divisors, whose sum is σ = 13765593600. Its totient is φ = 752640000.

The previous prime is 3459119981. The next prime is 3459120001. The reversal of 3459120000 is 219543.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3459120000² = 23931022348800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3459120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48719965 + ... + 48720035.

It is an arithmetic number, because the mean of its divisors is an integer number (21508740).

Almost surely, 2^3459120000 is an apocalyptic number.

3459120000 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 3459120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6882796800).

3459120000 is an abundant number, since it is smaller than the sum of its proper divisors (10306473600).

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

3459120000 is an equidigital number, since it uses as much as digits as its factorization.

3459120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 3459120000 is about 58814.2839793192. The cubic root of 3459120000 is about 1512.3600945200.

Adding to 3459120000 its reverse (219543), we get a palindrome (3459339543).

The spelling of 3459120000 in words is "three billion, four hundred fifty-nine million, one hundred twenty thousand".