384145740 has 120 divisors (see below), whose sum is σ = 1314693072. Its totient is φ = 93121920.

The previous prime is 384145721. The next prime is 384145763. The reversal of 384145740 is 47541483.

384145740 is a `hidden beast` number, since 3 + 84 + 1 + 4 + 574 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 384145695 and 384145704.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7042 + ... + 28598.

Almost surely, 2^384145740 is an apocalyptic number.

384145740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384145740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657346536).

384145740 is an abundant number, since it is smaller than the sum of its proper divisors (930547332).

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

384145740 is a wasteful number, since it uses less digits than its factorization.

384145740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21589 (or 21578 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 384145740 is about 19599.6362211139. The cubic root of 384145740 is about 726.9401793755.

The spelling of 384145740 in words is "three hundred eighty-four million, one hundred forty-five thousand, seven hundred forty".