3864074572800 has 792 divisors, whose sum is σ = 15144431866200. Its totient is φ = 935519846400.

The previous prime is 3864074572789. The next prime is 3864074572801. The reversal of 3864074572800 is 82754704683.

3864074572800 is a `hidden beast` number, since 3 + 8 + 64 + 0 + 7 + 4 + 572 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3510496871424 + 353577701376 = 1873632^2 + 594624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3864074572801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 182696626 + ... + 182717774.

Almost surely, 2^{3864074572800} is an apocalyptic number.

3864074572800 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 3864074572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7572215933100).

3864074572800 is an abundant number, since it is smaller than the sum of its proper divisors (11280357293400).

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

3864074572800 is a wasteful number, since it uses less digits than its factorization.

3864074572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21259 (or 21233 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 3864074572800 in words is "three trillion, eight hundred sixty-four billion, seventy-four million, five hundred seventy-two thousand, eight hundred".