385048034100 has 144 divisors (see below), whose sum is σ = 1239358523200. Its totient is φ = 102555020160.

The previous prime is 385048034099. The next prime is 385048034141. The reversal of 385048034100 is 1430840583.

385048034100 is a `hidden beast` number, since 38 + 504 + 80 + 3 + 41 + 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 47 ways as a sum of consecutive naturals, for example, 2152287 + ... + 2324313.

Almost surely, 2^385048034100 is an apocalyptic number.

385048034100 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 385048034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619679261600).

385048034100 is an abundant number, since it is smaller than the sum of its proper divisors (854310489100).

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

385048034100 is a wasteful number, since it uses less digits than its factorization.

385048034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172879 (or 172866 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 385048034100 its reverse (1430840583), we get a palindrome (386478874683).

The spelling of 385048034100 in words is "three hundred eighty-five billion, forty-eight million, thirty-four thousand, one hundred".