234642792384 has 672 divisors, whose sum is σ = 942761030400. Its totient is φ = 56255109120.

The previous prime is 234642792337. The next prime is 234642792409. The reversal of 234642792384 is 483297246432.

234642792384 is a `hidden beast` number, since 2 + 346 + 4 + 279 + 23 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 234642792384.

It is a congruent number.

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, 12098407 + ... + 12117785.

It is an arithmetic number, because the mean of its divisors is an integer number (1402918200).

Almost surely, 2^234642792384 is an apocalyptic number.

234642792384 is a gapful number since it is divisible by the number (24) 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 234642792384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471380515200).

234642792384 is an abundant number, since it is smaller than the sum of its proper divisors (708118238016).

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

234642792384 is a wasteful number, since it uses less digits than its factorization.

234642792384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19438 (or 19415 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 234642792384 in words is "two hundred thirty-four billion, six hundred forty-two million, seven hundred ninety-two thousand, three hundred eighty-four".