3077456079936 has 112 divisors (see below), whose sum is σ = 9312158810240. Its totient is φ = 878657310720.

The previous prime is 3077456079923. The next prime is 3077456079947. The reversal of 3077456079936 is 6399706547703.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×3077456079936³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1119396 + ... + 2721756.

Almost surely, 2^{3077456079936} 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 3077456079936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656079405120).

3077456079936 is an abundant number, since it is smaller than the sum of its proper divisors (6234702730304).

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

3077456079936 is a wasteful number, since it uses less digits than its factorization.

3077456079936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603812 (or 1603802 counting only the distinct ones).

The product of its (nonzero) digits is 180033840, while the sum is 66.

The spelling of 3077456079936 in words is "three trillion, seventy-seven billion, four hundred fifty-six million, seventy-nine thousand, nine hundred thirty-six".