385134080 has 160 divisors (see below), whose sum is σ = 999364608. Its totient is φ = 141926400.

The previous prime is 385134041. The next prime is 385134091. The reversal of 385134080 is 80431583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1825175 + ... + 1825385.

Almost surely, 2^385134080 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 385134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499682304).

385134080 is an abundant number, since it is smaller than the sum of its proper divisors (614230528).

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

385134080 is a wasteful number, since it uses less digits than its factorization.

385134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 385134080 is about 19624.8332476992. The cubic root of 385134080 is about 727.5630755843.

The spelling of 385134080 in words is "three hundred eighty-five million, one hundred thirty-four thousand, eighty".