385651152 has 80 divisors (see below), whose sum is σ = 1109800000. Its totient is φ = 128221056.

The previous prime is 385651139. The next prime is 385651159. The reversal of 385651152 is 251156583.

It is a happy number.

385651152 is a `hidden beast` number, since 38 + 565 + 11 + 52 = 666.

It is a super-2 number, since 2×385651152² = 297453622077854208, which contains 22 as substring.

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 (385651159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214674 + ... + 216462.

It is an arithmetic number, because the mean of its divisors is an integer number (13872500).

Almost surely, 2^385651152 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 385651152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554900000).

385651152 is an abundant number, since it is smaller than the sum of its proper divisors (724148848).

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

385651152 is a wasteful number, since it uses less digits than its factorization.

385651152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2293 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 385651152 is about 19638.0027497707. The cubic root of 385651152 is about 727.8885330283. Note that the first 3 decimals are identical.

The spelling of 385651152 in words is "three hundred eighty-five million, six hundred fifty-one thousand, one hundred fifty-two".