3364216000 has 112 divisors (see below), whose sum is σ = 8770376160. Its totient is φ = 1274803200.

The previous prime is 3364215991. The next prime is 3364216013. The reversal of 3364216000 is 6124633.

It is a super-2 number, since 2×3364216000² = 22635898589312000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140934 + ... + 163066.

It is an arithmetic number, because the mean of its divisors is an integer number (78306930).

Almost surely, 2^3364216000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3364216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385188080).

3364216000 is an abundant number, since it is smaller than the sum of its proper divisors (5406160160).

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

3364216000 is a wasteful number, since it uses less digits than its factorization.

3364216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22179 (or 22159 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 3364216000 is about 58001.8620390760. The cubic root of 3364216000 is about 1498.4006657297.

The spelling of 3364216000 in words is "three billion, three hundred sixty-four million, two hundred sixteen thousand".