3064830400800 has 2592 divisors, whose sum is σ = 14018822737920. Its totient is φ = 627317913600.

The previous prime is 3064830400799. The next prime is 3064830400817. The reversal of 3064830400800 is 80040384603.

3064830400800 is a `hidden beast` number, since 3 + 0 + 648 + 3 + 0 + 4 + 0 + 0 + 8 + 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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 71275125579 + ... + 71275125621.

Almost surely, 2^{3064830400800} is an apocalyptic number.

3064830400800 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 3064830400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009411368960).

3064830400800 is an abundant number, since it is smaller than the sum of its proper divisors (10953992337120).

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

3064830400800 is a wasteful number, since it uses less digits than its factorization.

3064830400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 3064830400800 in words is "three trillion, sixty-four billion, eight hundred thirty million, four hundred thousand, eight hundred".