3384115200000 has 1368 divisors, whose sum is σ = 13417611624144. Its totient is φ = 849346560000.

The previous prime is 3384115199953. The next prime is 3384115200013. The reversal of 3384115200000 is 25114833.

It is a happy number.

It is a super-2 number, since 2×3384115200000² (a number of 26 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 199065599992 + ... + 199065600008.

Almost surely, 2^{3384115200000} is an apocalyptic number.

3384115200000 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 3384115200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708805812072).

3384115200000 is an abundant number, since it is smaller than the sum of its proper divisors (10033496424144).

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

3384115200000 is an frugal number, since it uses more digits than its factorization.

3384115200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 3384115200000 in words is "three trillion, three hundred eighty-four billion, one hundred fifteen million, two hundred thousand".