3399145199064 has 448 divisors, whose sum is σ = 10532381464800. Its totient is φ = 1023168319488.

The previous prime is 3399145199063. The next prime is 3399145199083. The reversal of 3399145199064 is 4609915419933.

3399145199064 is a `hidden beast` number, since 3 + 3 + 9 + 91 + 451 + 9 + 90 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3399145198992 and 3399145199010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3399145199063) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 468650062 + ... + 468657314.

Almost surely, 2^{3399145199064} is an apocalyptic number.

3399145199064 is a gapful number since it is divisible by the number (34) 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 3399145199064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266190732400).

3399145199064 is an abundant number, since it is smaller than the sum of its proper divisors (7133236265736).

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

3399145199064 is a wasteful number, since it uses less digits than its factorization.

3399145199064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7486 (or 7467 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 3399145199064 in words is "three trillion, three hundred ninety-nine billion, one hundred forty-five million, one hundred ninety-nine thousand, sixty-four".