384538890240 has 832 divisors, whose sum is σ = 1524390969600. Its totient is φ = 91389689856.

The previous prime is 384538890187. The next prime is 384538890269. The reversal of 384538890240 is 42098835483.

384538890240 is a `hidden beast` number, since 3 + 8 + 4 + 538 + 89 + 0 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178605004 + ... + 178607156.

Almost surely, 2^384538890240 is an apocalyptic number.

384538890240 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 384538890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762195484800).

384538890240 is an abundant number, since it is smaller than the sum of its proper divisors (1139852079360).

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

384538890240 is a wasteful number, since it uses less digits than its factorization.

384538890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 384538890240 in words is "three hundred eighty-four billion, five hundred thirty-eight million, eight hundred ninety thousand, two hundred forty".