3086402981376 has 960 divisors, whose sum is σ = 10181828321280. Its totient is φ = 824308531200.

The previous prime is 3086402981371. The next prime is 3086402981413. The reversal of 3086402981376 is 6731892046803.

It is a super-2 number, since 2×3086402981376² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3086402981371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6666096921 + ... + 6666097383.

It is an arithmetic number, because the mean of its divisors is an integer number (10606071168).

Almost surely, 2^{3086402981376} 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 3086402981376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090914160640).

3086402981376 is an abundant number, since it is smaller than the sum of its proper divisors (7095425339904).

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

3086402981376 is a wasteful number, since it uses less digits than its factorization.

3086402981376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 3086402981376 in words is "three trillion, eighty-six billion, four hundred two million, nine hundred eighty-one thousand, three hundred seventy-six".