3394727965440 has 1728 divisors, whose sum is σ = 14680626105600. Its totient is φ = 721378344960.

The previous prime is 3394727965399. The next prime is 3394727965459. The reversal of 3394727965440 is 445697274933.

It is a happy number.

3394727965440 is a `hidden beast` number, since 3 + 3 + 9 + 472 + 79 + 6 + 54 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 6515792380 + ... + 6515792900.

It is an arithmetic number, because the mean of its divisors is an integer number (8495732700).

Almost surely, 2^{3394727965440} is an apocalyptic number.

3394727965440 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 3394727965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340313052800).

3394727965440 is an abundant number, since it is smaller than the sum of its proper divisors (11285898140160).

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

3394727965440 is a wasteful number, since it uses less digits than its factorization.

3394727965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 3394727965440 in words is "three trillion, three hundred ninety-four billion, seven hundred twenty-seven million, nine hundred sixty-five thousand, four hundred forty".