384837929349120 has 4160 divisors, whose sum is σ = 1616646346761600. Its totient is φ = 86776039342080.

The previous prime is 384837929349113. The next prime is 384837929349149. The reversal of 384837929349120 is 21943929738483.

384837929349120 is a `hidden beast` number, since 3 + 8 + 4 + 8 + 379 + 2 + 93 + 49 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 319 ways as a sum of consecutive naturals, for example, 2224496701354 + ... + 2224496701526.

Almost surely, 2^{384837929349120} is an apocalyptic number.

384837929349120 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 384837929349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808323173380800).

384837929349120 is an abundant number, since it is smaller than the sum of its proper divisors (1231808417412480).

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

384837929349120 is a wasteful number, since it uses less digits than its factorization.

384837929349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 384837929349120 in words is "three hundred eighty-four trillion, eight hundred thirty-seven billion, nine hundred twenty-nine million, three hundred forty-nine thousand, one hundred twenty".