3393084812160 has 192 divisors, whose sum is σ = 11072841054480. Its totient is φ = 883779305472.

The previous prime is 3393084812147. The next prime is 3393084812263. The reversal of 3393084812160 is 612184803933.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3072192 + ... + 4027968.

Almost surely, 2^{3393084812160} is an apocalyptic number.

3393084812160 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 3393084812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536420527240).

3393084812160 is an abundant number, since it is smaller than the sum of its proper divisors (7679756242320).

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

3393084812160 is an equidigital number, since it uses as much as digits as its factorization.

3393084812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955885 (or 955830 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 3393084812160 in words is "three trillion, three hundred ninety-three billion, eighty-four million, eight hundred twelve thousand, one hundred sixty".