3394882469088 has 240 divisors, whose sum is σ = 11076528798720. Its totient is φ = 1011315283200.

The previous prime is 3394882469071. The next prime is 3394882469149. The reversal of 3394882469088 is 8809642884933.

3394882469088 is a `hidden beast` number, since 3 + 3 + 9 + 4 + 8 + 82 + 469 + 0 + 88 = 666.

It is a super-3 number, since 3×3394882469088³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673153 + ... + 2691263.

It is an arithmetic number, because the mean of its divisors is an integer number (46152203328).

Almost surely, 2^{3394882469088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3394882469088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538264399360).

3394882469088 is an abundant number, since it is smaller than the sum of its proper divisors (7681646329632).

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

3394882469088 is a wasteful number, since it uses less digits than its factorization.

3394882469088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018203 (or 2018186 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 3394882469088 in words is "three trillion, three hundred ninety-four billion, eight hundred eighty-two million, four hundred sixty-nine thousand, eighty-eight".