3064399672320 has 1232 divisors, whose sum is σ = 13260987411840. Its totient is φ = 663461756928.

The previous prime is 3064399672309. The next prime is 3064399672333. The reversal of 3064399672320 is 232769934603.

3064399672320 is a `hidden beast` number, since 30 + 6 + 439 + 96 + 72 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 496416754 + ... + 496422926.

Almost surely, 2^{3064399672320} is an apocalyptic number.

3064399672320 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 3064399672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630493705920).

3064399672320 is an abundant number, since it is smaller than the sum of its proper divisors (10196587739520).

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

3064399672320 is an equidigital number, since it uses as much as digits as its factorization.

3064399672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 3064399672320 in words is "three trillion, sixty-four billion, three hundred ninety-nine million, six hundred seventy-two thousand, three hundred twenty".