384078625920 has 576 divisors, whose sum is σ = 1477968219000. Its totient is φ = 91822325760.

The previous prime is 384078625897. The next prime is 384078625949. The reversal of 384078625920 is 29526870483.

384078625920 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 7 + 8 + 625 + 9 + 2 + 0 = 666.

384078625920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 361354872384 + 22723753536 = 601128^2 + 150744^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50874306 + ... + 50881854.

Almost surely, 2^384078625920 is an apocalyptic number.

384078625920 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 384078625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738984109500).

384078625920 is an abundant number, since it is smaller than the sum of its proper divisors (1093889593080).

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

384078625920 is a wasteful number, since it uses less digits than its factorization.

384078625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7669 (or 7643 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 384078625920 in words is "three hundred eighty-four billion, seventy-eight million, six hundred twenty-five thousand, nine hundred twenty".