3399935938560 has 1248 divisors, whose sum is σ = 14791602938112. Its totient is φ = 731287388160.

The previous prime is 3399935938547. The next prime is 3399935938561. The reversal of 3399935938560 is 658395399933.

3399935938560 is a `hidden beast` number, since 3 + 3 + 9 + 9 + 9 + 3 + 59 + 3 + 8 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3399935938561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 592217290 + ... + 592223030.

It is an arithmetic number, because the mean of its divisors is an integer number (11852245944).

Almost surely, 2^{3399935938560} is an apocalyptic number.

3399935938560 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 3399935938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7395801469056).

3399935938560 is an abundant number, since it is smaller than the sum of its proper divisors (11391666999552).

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

3399935938560 is an equidigital number, since it uses as much as digits as its factorization.

3399935938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 637729200, while the sum is 72.

The spelling of 3399935938560 in words is "three trillion, three hundred ninety-nine billion, nine hundred thirty-five million, nine hundred thirty-eight thousand, five hundred sixty".