3400397964288 has 704 divisors, whose sum is σ = 11550778848000. Its totient is φ = 978914377728.

The previous prime is 3400397964283. The next prime is 3400397964329. The reversal of 3400397964288 is 8824697930043.

3400397964288 is a `hidden beast` number, since 3 + 40 + 0 + 397 + 96 + 42 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (3400397964283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1093725678 + ... + 1093728786.

Almost surely, 2^{3400397964288} 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 3400397964288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5775389424000).

3400397964288 is an abundant number, since it is smaller than the sum of its proper divisors (8150380883712).

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

3400397964288 is a wasteful number, since it uses less digits than its factorization.

3400397964288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 3400397964288 in words is "three trillion, four hundred billion, three hundred ninety-seven million, nine hundred sixty-four thousand, two hundred eighty-eight".