3395989588992 has 1408 divisors, whose sum is σ = 12607656542208. Its totient is φ = 784406937600.

The previous prime is 3395989588963. The next prime is 3395989588993. The reversal of 3395989588992 is 2998859895933.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a junction number, because it is equal to n+sod(n) for n = 3395989588899 and 3395989588908.

It is not an unprimeable number, because it can be changed into a prime (3395989588993) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10919580517 + ... + 10919580827.

Almost surely, 2^{3395989588992} is an apocalyptic number.

3395989588992 is a gapful number since it is divisible by the number (32) 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 3395989588992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303828271104).

3395989588992 is an abundant number, since it is smaller than the sum of its proper divisors (9211666953216).

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

3395989588992 is a wasteful number, since it uses less digits than its factorization.

3395989588992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 467 counting only the distinct ones).

The product of its digits is 13604889600, while the sum is 87.

The spelling of 3395989588992 in words is "three trillion, three hundred ninety-five billion, nine hundred eighty-nine million, five hundred eighty-eight thousand, nine hundred ninety-two".