385134048 has 192 divisors, whose sum is σ = 1281510720. Its totient is φ = 111476736.

The previous prime is 385134041. The next prime is 385134091. The reversal of 385134048 is 840431583.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385134041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189936 + ... + 191952.

It is an arithmetic number, because the mean of its divisors is an integer number (6674535).

Almost surely, 2^385134048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385134048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640755360).

385134048 is an abundant number, since it is smaller than the sum of its proper divisors (896376672).

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

385134048 is a wasteful number, since it uses less digits than its factorization.

385134048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2052 counting only the distinct ones).

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

The square root of 385134048 is about 19624.8324324056. The cubic root of 385134048 is about 727.5630554337.

The spelling of 385134048 in words is "three hundred eighty-five million, one hundred thirty-four thousand, forty-eight".