385342720 has 144 divisors (see below), whose sum is σ = 1091986560. Its totient is φ = 127475712.

The previous prime is 385342717. The next prime is 385342813. The reversal of 385342720 is 27243583.

It is a super-4 number, since 4×385342720⁴ (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259099 + ... + 260581.

It is an arithmetic number, because the mean of its divisors is an integer number (7583240).

Almost surely, 2^385342720 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 385342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545993280).

385342720 is an abundant number, since it is smaller than the sum of its proper divisors (706643840).

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

385342720 is a wasteful number, since it uses less digits than its factorization.

385342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 385342720 is about 19630.1482419262. The cubic root of 385342720 is about 727.6944336097.

The spelling of 385342720 in words is "three hundred eighty-five million, three hundred forty-two thousand, seven hundred twenty".