3079706961408 has 720 divisors, whose sum is σ = 10949784502272. Its totient is φ = 752777625600.

The previous prime is 3079706961407. The next prime is 3079706961437. The reversal of 3079706961408 is 8041696079703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3079706961407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 375982593 + ... + 375990783.

Almost surely, 2^{3079706961408} 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 3079706961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474892251136).

3079706961408 is an abundant number, since it is smaller than the sum of its proper divisors (7870077540864).

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

3079706961408 is a wasteful number, since it uses less digits than its factorization.

3079706961408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8275 (or 8231 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The spelling of 3079706961408 in words is "three trillion, seventy-nine billion, seven hundred six million, nine hundred sixty-one thousand, four hundred eight".