385540342272 has 150 divisors (see below), whose sum is σ = 1151113943133. Its totient is φ = 128471298048.

The previous prime is 385540342261. The next prime is 385540342273. The reversal of 385540342272 is 272243045583.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

385540342272 is a `hidden beast` number, since 3 + 8 + 5 + 540 + 34 + 2 + 2 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 312328970496 + 73211371776 = 558864^2 + 270576^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=439056.

It is not an unprimeable number, because it can be changed into a prime (385540342273) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 126446604 + ... + 126449652.

Almost surely, 2^385540342272 is an apocalyptic number.

385540342272 is a gapful number since it is divisible by the number (32) 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 385540342272

385540342272 is an abundant number, since it is smaller than the sum of its proper divisors (765573600861).

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

385540342272 is an frugal number, since it uses more digits than its factorization.

385540342272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6128 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 385540342272 in words is "three hundred eighty-five billion, five hundred forty million, three hundred forty-two thousand, two hundred seventy-two".