3429216000 has 864 divisors, whose sum is σ = 14903703360. Its totient is φ = 783820800.

The previous prime is 3429215971. The next prime is 3429216019. The reversal of 3429216000 is 6129243.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3429216000 is a `hidden beast` number, since 34 + 2 + 9 + 21 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489887997 + ... + 489888003.

Almost surely, 2^3429216000 is an apocalyptic number.

3429216000 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 3429216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451851680).

3429216000 is an abundant number, since it is smaller than the sum of its proper divisors (11474487360).

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

3429216000 is an frugal number, since it uses more digits than its factorization.

3429216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3429216000 is about 58559.5081946561. The cubic root of 3429216000 is about 1507.9893710832.

The spelling of 3429216000 in words is "three billion, four hundred twenty-nine million, two hundred sixteen thousand".