3329616000 has 256 divisors, whose sum is σ = 11204593920. Its totient is φ = 874496000.

The previous prime is 3329615983. The next prime is 3329616001. The reversal of 3329616000 is 6169233.

It is a happy number.

It is a super-2 number, since 2×3329616000² = 22172685414912000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3329616001) 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, 3407512 + ... + 3408488.

It is an arithmetic number, because the mean of its divisors is an integer number (43767945).

Almost surely, 2^3329616000 is an apocalyptic number.

3329616000 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 3329616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602296960).

3329616000 is an abundant number, since it is smaller than the sum of its proper divisors (7874977920).

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

3329616000 is an equidigital number, since it uses as much as digits as its factorization.

3329616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 3329616000 is about 57702.8248875218. The cubic root of 3329616000 is about 1493.2460797943.

The spelling of 3329616000 in words is "three billion, three hundred twenty-nine million, six hundred sixteen thousand".