3082904951616 has 504 divisors, whose sum is σ = 10424149575840. Its totient is φ = 868461963264.

The previous prime is 3082904951573. The next prime is 3082904951617. The reversal of 3082904951616 is 6161594092803.

3082904951616 is a `hidden beast` number, since 3 + 0 + 8 + 2 + 90 + 495 + 1 + 61 + 6 = 666.

3082904951616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×3082904951616² (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 (3082904951617) 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, 1543767130 + ... + 1543769126.

It is an arithmetic number, because the mean of its divisors is an integer number (20682836460).

Almost surely, 2^{3082904951616} is an apocalyptic number.

3082904951616 is a gapful number since it is divisible by the number (36) 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 3082904951616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212074787920).

3082904951616 is an abundant number, since it is smaller than the sum of its proper divisors (7341244624224).

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

3082904951616 is a wasteful number, since it uses less digits than its factorization.

3082904951616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 3082904951616 in words is "three trillion, eighty-two billion, nine hundred four million, nine hundred fifty-one thousand, six hundred sixteen".