3456516000 has 192 divisors, whose sum is σ = 12941510400. Its totient is φ = 790041600.

The previous prime is 3456515989. The next prime is 3456516001. The reversal of 3456516000 is 6156543.

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

It is not an unprimeable number, because it can be changed into a prime (3456516001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63426 + ... + 104574.

It is an arithmetic number, because the mean of its divisors is an integer number (67403700).

Almost surely, 2^3456516000 is an apocalyptic number.

3456516000 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 3456516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6470755200).

3456516000 is an abundant number, since it is smaller than the sum of its proper divisors (9484994400).

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

3456516000 is a wasteful number, since it uses less digits than its factorization.

3456516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41184 (or 41166 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 3456516000 is about 58792.1423321178. The cubic root of 3456516000 is about 1511.9805014142.

The spelling of 3456516000 in words is "three billion, four hundred fifty-six million, five hundred sixteen thousand".