3405216000 has 288 divisors, whose sum is σ = 11479104000. Its totient is φ = 894566400.

The previous prime is 3405215981. The next prime is 3405216011. The reversal of 3405216000 is 6125043.

It is a happy number.

3405216000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7583776 + ... + 7584224.

It is an arithmetic number, because the mean of its divisors is an integer number (39858000).

Almost surely, 2^3405216000 is an apocalyptic number.

3405216000 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 3405216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739552000).

3405216000 is an abundant number, since it is smaller than the sum of its proper divisors (8073888000).

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

3405216000 is an equidigital number, since it uses as much as digits as its factorization.

3405216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3405216000 is about 58354.2286385486. The cubic root of 3405216000 is about 1504.4631514594.

The spelling of 3405216000 in words is "three billion, four hundred five million, two hundred sixteen thousand".