3064139820000 has 1920 divisors, whose sum is σ = 13381956403200. Its totient is φ = 667180800000.

The previous prime is 3064139819981. The next prime is 3064139820011. The reversal of 3064139820000 is 289314603.

3064139820000 is a `hidden beast` number, since 3 + 0 + 64 + 1 + 398 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9257219835 + ... + 9257220165.

It is an arithmetic number, because the mean of its divisors is an integer number (6969768960).

Almost surely, 2^{3064139820000} is an apocalyptic number.

3064139820000 is a gapful number since it is divisible by the number (30) 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 3064139820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6690978201600).

3064139820000 is an abundant number, since it is smaller than the sum of its proper divisors (10317816583200).

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

3064139820000 is a wasteful number, since it uses less digits than its factorization.

3064139820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 3064139820000 in words is "three trillion, sixty-four billion, one hundred thirty-nine million, eight hundred twenty thousand".