384234478453560 has 768 divisors, whose sum is σ = 1388746321920000. Its totient is φ = 84731982999552.

The previous prime is 384234478453541. The next prime is 384234478453663. The reversal of 384234478453560 is 65354874432483.

It is a super-2 number, since 2×384234478453560² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 384234478453491 and 384234478453500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82862727562 + ... + 82862732198.

It is an arithmetic number, because the mean of its divisors is an integer number (1808263440000).

Almost surely, 2^{384234478453560} is an apocalyptic number.

384234478453560 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 384234478453560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694373160960000).

384234478453560 is an abundant number, since it is smaller than the sum of its proper divisors (1004511843466440).

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

384234478453560 is a wasteful number, since it uses less digits than its factorization.

384234478453560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7828 (or 7817 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 66.

The spelling of 384234478453560 in words is "three hundred eighty-four trillion, two hundred thirty-four billion, four hundred seventy-eight million, four hundred fifty-three thousand, five hundred sixty".