3854642872320 has 384 divisors, whose sum is σ = 13460800396680. Its totient is φ = 1020348334080.

The previous prime is 3854642872271. The next prime is 3854642872499. The reversal of 3854642872320 is 232782464583.

3854642872320 is a `hidden beast` number, since 3 + 8 + 546 + 4 + 2 + 8 + 72 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2622223171584 + 1232419700736 = 1619328^2 + 1110144^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202005180 + ... + 202024260.

Almost surely, 2^{3854642872320} is an apocalyptic number.

3854642872320 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 3854642872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730400198340).

3854642872320 is an abundant number, since it is smaller than the sum of its proper divisors (9606157524360).

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

3854642872320 is a wasteful number, since it uses less digits than its factorization.

3854642872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19259 (or 19228 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 3854642872320 in words is "three trillion, eight hundred fifty-four billion, six hundred forty-two million, eight hundred seventy-two thousand, three hundred twenty".