3458208000 has 576 divisors, whose sum is σ = 13178011392. Its totient is φ = 796262400.

The previous prime is 3458207989. The next prime is 3458208029. The reversal of 3458208000 is 8028543.

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, 21215919 + ... + 21216081.

It is an arithmetic number, because the mean of its divisors is an integer number (22878492).

Almost surely, 2^3458208000 is an apocalyptic number.

3458208000 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 3458208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589005696).

3458208000 is an abundant number, since it is smaller than the sum of its proper divisors (9719803392).

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

3458208000 is a wasteful number, since it uses less digits than its factorization.

3458208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3458208000 is about 58806.5302496245. The cubic root of 3458208000 is about 1512.2271711523.

The spelling of 3458208000 in words is "three billion, four hundred fifty-eight million, two hundred eight thousand".