386201088 has 320 divisors, whose sum is σ = 1411576320. Its totient is φ = 101523456.

The previous prime is 386201077. The next prime is 386201129. The reversal of 386201088 is 880102683.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257831 + ... + 1258137.

It is an arithmetic number, because the mean of its divisors is an integer number (4411176).

Almost surely, 2^386201088 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 386201088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705788160).

386201088 is an abundant number, since it is smaller than the sum of its proper divisors (1025375232).

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

386201088 is a wasteful number, since it uses less digits than its factorization.

386201088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 386201088 is about 19651.9995929167. Note that the first 3 decimals coincide. The cubic root of 386201088 is about 728.2343567825.

The spelling of 386201088 in words is "three hundred eighty-six million, two hundred one thousand, eighty-eight".