3403977613344 has 288 divisors, whose sum is σ = 12179378090880. Its totient is φ = 876037939200.

The previous prime is 3403977613319. The next prime is 3403977613349. The reversal of 3403977613344 is 4433167793043.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3403977613344² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3403977613349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1713064 + ... + 3121304.

It is an arithmetic number, because the mean of its divisors is an integer number (42289507260).

Almost surely, 2^{3403977613344} 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 3403977613344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089689045440).

3403977613344 is an abundant number, since it is smaller than the sum of its proper divisors (8775400477536).

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

3403977613344 is a wasteful number, since it uses less digits than its factorization.

3403977613344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408384 (or 1408373 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 54.

The spelling of 3403977613344 in words is "three trillion, four hundred three billion, nine hundred seventy-seven million, six hundred thirteen thousand, three hundred forty-four".