384507634656 has 48 divisors (see below), whose sum is σ = 1023159032784. Its totient is φ = 126413466624.

The previous prime is 384507634649. The next prime is 384507634657. The reversal of 384507634656 is 656436705483.

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

It is a super-2 number, since 2×384507634656² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 384507634596 and 384507634605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384507634657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27426471 + ... + 27440486.

It is an arithmetic number, because the mean of its divisors is an integer number (21315813183).

Almost surely, 2^384507634656 is an apocalyptic number.

It is an amenable number.

384507634656 is an abundant number, since it is smaller than the sum of its proper divisors (638651398128).

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

384507634656 is a wasteful number, since it uses less digits than its factorization.

384507634656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54867043 (or 54867035 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 57.

The spelling of 384507634656 in words is "three hundred eighty-four billion, five hundred seven million, six hundred thirty-four thousand, six hundred fifty-six".