3440340376992 has 144 divisors (see below), whose sum is σ = 10061814803040. Its totient is φ = 1114424188416.

The previous prime is 3440340376981. The next prime is 3440340377051. The reversal of 3440340376992 is 2996730430443.

It is a happy number.

3440340376992 is a `hidden beast` number, since 3 + 440 + 3 + 40 + 3 + 76 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3440340376992² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1734559 + ... + 3144737.

It is an arithmetic number, because the mean of its divisors is an integer number (69873713910).

Almost surely, 2^{3440340376992} is an apocalyptic number.

3440340376992 is a gapful number since it is divisible by the number (32) 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 3440340376992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030907401520).

3440340376992 is an abundant number, since it is smaller than the sum of its proper divisors (6621474426048).

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

3440340376992 is a wasteful number, since it uses less digits than its factorization.

3440340376992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410435 (or 1410424 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 3440340376992 in words is "three trillion, four hundred forty billion, three hundred forty million, three hundred seventy-six thousand, nine hundred ninety-two".