384014289120 has 768 divisors, whose sum is σ = 1586536906752. Its totient is φ = 75703541760.

The previous prime is 384014289101. The next prime is 384014289121. The reversal of 384014289120 is 21982410483.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384014289121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107958382 + ... + 107961938.

It is an arithmetic number, because the mean of its divisors is an integer number (2065803264).

Almost surely, 2^384014289120 is an apocalyptic number.

384014289120 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 384014289120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793268453376).

384014289120 is an abundant number, since it is smaller than the sum of its proper divisors (1202522617632).

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

384014289120 is a wasteful number, since it uses less digits than its factorization.

384014289120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 384014289120 in words is "three hundred eighty-four billion, fourteen million, two hundred eighty-nine thousand, one hundred twenty".