384883288704 has 48 divisors (see below), whose sum is σ = 1107541758570. Its totient is φ = 128294429184.

The previous prime is 384883288693. The next prime is 384883288717. The reversal of 384883288704 is 407882388483.

384883288704 is a `hidden beast` number, since 3 + 8 + 488 + 3 + 2 + 88 + 70 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 298771560000 + 86111728704 = 546600^2 + 293448^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×384883288704² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 167048887 + ... + 167051190.

Almost surely, 2^384883288704 is an apocalyptic number.

It is an amenable number.

384883288704 is an abundant number, since it is smaller than the sum of its proper divisors (722658469866).

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

384883288704 is a wasteful number, since it uses less digits than its factorization.

384883288704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334100097 (or 334100082 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 384883288704 in words is "three hundred eighty-four billion, eight hundred eighty-three million, two hundred eighty-eight thousand, seven hundred four".