384098204160 has 960 divisors, whose sum is σ = 1528858146816. Its totient is φ = 88210636800.

The previous prime is 384098204129. The next prime is 384098204173. The reversal of 384098204160 is 61402890483.

It is a happy number.

384098204160 is a `hidden beast` number, since 3 + 8 + 409 + 82 + 0 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 763614469 + ... + 763614971.

Almost surely, 2^384098204160 is an apocalyptic number.

384098204160 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 384098204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764429073408).

384098204160 is an abundant number, since it is smaller than the sum of its proper divisors (1144759942656).

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

384098204160 is a wasteful number, since it uses less digits than its factorization.

384098204160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 384098204160 in words is "three hundred eighty-four billion, ninety-eight million, two hundred four thousand, one hundred sixty".