384935040 has 192 divisors, whose sum is σ = 1519277760. Its totient is φ = 87975936.

The previous prime is 384935039. The next prime is 384935051. The reversal of 384935040 is 40539483.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 384934986 and 384935004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35547 + ... + 45093.

It is an arithmetic number, because the mean of its divisors is an integer number (7912905).

Almost surely, 2^384935040 is an apocalyptic number.

384935040 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 384935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759638880).

384935040 is an abundant number, since it is smaller than the sum of its proper divisors (1134342720).

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

384935040 is a wasteful number, since it uses less digits than its factorization.

384935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9579 (or 9564 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 384935040 is about 19619.7614664399. The cubic root of 384935040 is about 727.4377174158.

The spelling of 384935040 in words is "three hundred eighty-four million, nine hundred thirty-five thousand, forty".