3321414600000 has 1344 divisors, whose sum is σ = 13125371922432. Its totient is φ = 725437440000.

The previous prime is 3321414599977. The next prime is 3321414600019. The reversal of 3321414600000 is 64141233.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×3321414600000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9571799827 + ... + 9571800173.

It is an arithmetic number, because the mean of its divisors is an integer number (9765901728).

Almost surely, 2^{3321414600000} is an apocalyptic number.

3321414600000 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 3321414600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562685961216).

3321414600000 is an abundant number, since it is smaller than the sum of its proper divisors (9803957322432).

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

3321414600000 is an equidigital number, since it uses as much as digits as its factorization.

3321414600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3321414600000 its reverse (64141233), we get a palindrome (3321478741233).

The spelling of 3321414600000 in words is "three trillion, three hundred twenty-one billion, four hundred fourteen million, six hundred thousand".