3394115333280 has 576 divisors, whose sum is σ = 13985747193600. Its totient is φ = 732222996480.

The previous prime is 3394115333201. The next prime is 3394115333303. The reversal of 3394115333280 is 823335114933.

3394115333280 is a `hidden beast` number, since 3 + 3 + 9 + 4 + 1 + 1 + 533 + 32 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51485940 + ... + 51551820.

It is an arithmetic number, because the mean of its divisors is an integer number (24280811100).

Almost surely, 2^{3394115333280} is an apocalyptic number.

3394115333280 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 3394115333280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992873596800).

3394115333280 is an abundant number, since it is smaller than the sum of its proper divisors (10591631860320).

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

3394115333280 is a wasteful number, since it uses less digits than its factorization.

3394115333280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66197 (or 66186 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3394115333280 in words is "three trillion, three hundred ninety-four billion, one hundred fifteen million, three hundred thirty-three thousand, two hundred eighty".