384185088 has 324 divisors, whose sum is σ = 1335880728. Its totient is φ = 105799680.

The previous prime is 384185059. The next prime is 384185093. The reversal of 384185088 is 880581483.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4628695 + ... + 4628777.

Almost surely, 2^384185088 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 384185088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667940364).

384185088 is an abundant number, since it is smaller than the sum of its proper divisors (951695640).

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

384185088 is a wasteful number, since it uses less digits than its factorization.

384185088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 384185088 is about 19600.6399895514. The cubic root of 384185088 is about 726.9649986586.

The spelling of 384185088 in words is "three hundred eighty-four million, one hundred eighty-five thousand, eighty-eight".