6008346120 has 256 divisors, whose sum is σ = 21587005440. Its totient is φ = 1308054528.

The previous prime is 6008346119. The next prime is 6008346137. The reversal of 6008346120 is 216438006.

It is a super-2 number, since 2×6008346120² = 72200446195438108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5930734 + ... + 5931746.

It is an arithmetic number, because the mean of its divisors is an integer number (84324240).

Almost surely, 2^6008346120 is an apocalyptic number.

6008346120 is a gapful number since it is divisible by the number (60) 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 6008346120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10793502720).

6008346120 is an abundant number, since it is smaller than the sum of its proper divisors (15578659320).

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

6008346120 is a wasteful number, since it uses less digits than its factorization.

6008346120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6008346120 is about 77513.5221751663. The cubic root of 6008346120 is about 1817.9627528280.

The spelling of 6008346120 in words is "six billion, eight million, three hundred forty-six thousand, one hundred twenty".